In this paper, the new subclass B-n(lambda,alpha,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results o...In this paper, the new subclass B-n(lambda,alpha,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.展开更多
In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.
In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel function...In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z（Bκ＋1^c f（z））′= κBκ^c f（z）-（κ- 1）Bκ＋1^c f（z）,where b, c, p ∈ C and κ = p ＋（b ＋ 1）/2 ∈ C ／ Z0^-（Z0^-= {0,-1,-2, … }）. The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out.展开更多
In the present paper, we introduce some new subclasses of harmonic multivalent functions defined by generalized Dziok-Srivastava operator. Sufficient coefficient conditions, distortion bounds and extreme points for fu...In the present paper, we introduce some new subclasses of harmonic multivalent functions defined by generalized Dziok-Srivastava operator. Sufficient coefficient conditions, distortion bounds and extreme points for functions of these classes are obtained.展开更多
In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting ...In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting probabilities in different weights and give an example in the case of subordination.展开更多
In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,...In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,A_(p)-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.展开更多
The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fracti...The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fractional differintegral operator Ω（λ,p）.展开更多
This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ： ｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（...This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ： ｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（z）＋（1-α）zf＇（z）/f（z）∈p（U）for all z ∈ U, where αis a real number and p（z）=1＋r^2z^2/1-Tz-T^2z^2（z∈ U）. The number T = （1 -√5）/2 is such that T^2 = 1 ＋ T. The class SFLMa introduced by J. Dziok, R.K. Raina, and J. Sokot [3, Appl. Math. Comput. 218 （2011）, 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.展开更多
In the present paper, we introduce some new subclasses of meromorphic starlike,convex, close-to-convex and quasi-convex iunctions of β-reciprocal in terms of the linear operator using subordination. We obtain the coe...In the present paper, we introduce some new subclasses of meromorphic starlike,convex, close-to-convex and quasi-convex iunctions of β-reciprocal in terms of the linear operator using subordination. We obtain the coefficient estimates, convolution properties, integral preserving properties and inclusion relationships of the classes. The results presented here include several results as their special cases.展开更多
This note is devoted to applying the principle of subordination in order to explore the Roper-Suffridge extension operator and the Pfaltzgraff-Suffridge extension operator with special analytic properties.First,we pro...This note is devoted to applying the principle of subordination in order to explore the Roper-Suffridge extension operator and the Pfaltzgraff-Suffridge extension operator with special analytic properties.First,we prove that both the Roper-Suffridge extension operator and the Pfaltzgraff-Suffridge extension operator preserve subordination.As applications,we obtain that if β∈[0,1],γ∈[0,1/r]and β+γ≤1,then the Roper-Suffridge extension operator Φ_(β+γ)(f)(z)=(f(z_(1)),(f(z_(1))/z_(1))^(β)(f’(z_(1)))^(γ)w),z∈Ω_(p,r) preserves an almost starlike mapping of complex order λ on Ω_(p,r)={z=(z_(1),w)∈C×X:|z_(1)|^(p)+‖w‖_(X)^(r)<1},where 1≤p≤2,r≥1 and X is a complex Banach space.Second,by applying the principle of subordination,we will prove that the Pfaltzgraff-Suffridge extension operator preserves an almost starlike mapping of complex order λ.Finally,we will obtain the lower bound of distortion theorems associated with the Roper-Suffridge extension operator.This subordination principle seems to be a new idea for dealing with the Loewner chain associated with the Roper-Suffridge extension operator,and enables us to generalize many known results from p=2 to 1≤p≤2.展开更多
Let SH be the class of functions f = h + ˉg that are harmonic univalent and sensepreserving in the open unit disk U = {z ∈ C : |z| < 1} for which f(0) = f′(0)-1 = 0. In the present paper, we introduce some new s...Let SH be the class of functions f = h + ˉg that are harmonic univalent and sensepreserving in the open unit disk U = {z ∈ C : |z| < 1} for which f(0) = f′(0)-1 = 0. In the present paper, we introduce some new subclasses of SH consisting of univalent and sensepreserving functions defined by convolution and subordination. Sufficient coefficient conditions,distortion bounds, extreme points and convolution properties for functions of these classes are obtained. Also, we discuss the radii of starlikeness and convexity.展开更多
We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for t...We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also derived, and the results generalize some recently ones.展开更多
In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the rec...In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the recent works of other authors.展开更多
In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.
In this paper, we investigate a subordination property and the coefficient inequality for the class M(1, b), The lower bound is also provided for the real part of functions belonging to the class M(1, b).
Indonesia government has placed politically the chance for women to participate in political field because the women representation is still low if it is compared with men locally and nationally. Meanwhile, the involv...Indonesia government has placed politically the chance for women to participate in political field because the women representation is still low if it is compared with men locally and nationally. Meanwhile, the involvement of women in politics becomes one of indicators to determine Gender Empowerment Measurement （GEM）. West Sumatra which is well-known as Bundo Kanduang provides important position for women in making decision, either in custom, nagari, communal society. The aim of the study is to describe women participation in politics. It is also to identify some factors which influence the women representation in legislative level. Qualitative research was used in this study where the data taken from interview, documentation, and observation. 24 candidate of legislative in 2014 were involved in this study. The finding of the study showed that there was only 7.38% women got the position in legislative. The women participation is lower than 2009. The other finding described some factors that influenced the women involvement in parliament. It was caused by： （1） there is a stereotype of society that politics is for men only; （2） the process of selection in politic still subordinate women; （3） lack of publication support in parliament; （4） there is no organization, group and networking which not commit to support women in parliament; （5） there is no good support from family to involved in polities. It is suggested that the government should improve the women representation in legislative.展开更多
The object of the present paper is to investigate some mapping properties of subordinations by certain multivalent functions in the open unit disk associated with fractional integral operator.Furthermore,some applicat...The object of the present paper is to investigate some mapping properties of subordinations by certain multivalent functions in the open unit disk associated with fractional integral operator.Furthermore,some applications to the integral operator are also pointed out.展开更多
For the new subclass B of the bi-univalent functions constructed with the help of the(u,v)-Chebyshev polynomials of the second type,we get estimates for the first two initial coefficients and upper bounds of the Feket...For the new subclass B of the bi-univalent functions constructed with the help of the(u,v)-Chebyshev polynomials of the second type,we get estimates for the first two initial coefficients and upper bounds of the Fekete-Szeg o functional.展开更多
In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type...In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also considered.展开更多
The authors obtain subordination and superordination preserving properties for a new defined generalized operator involving the Srivastava-Attiya integral operator. Differential sandwich-type theorems for these unival...The authors obtain subordination and superordination preserving properties for a new defined generalized operator involving the Srivastava-Attiya integral operator. Differential sandwich-type theorems for these univalent functions, and some consequences involving well-known special functions are also presented.展开更多
基金NSF of Guangdong(980015)and NSF of China(19971029)
文摘In this paper, the new subclass B-n(lambda,alpha,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.
基金The NSF(KJ2018A0839,KJ2018A0833) of Anhui Provincial Department of Education
文摘In this paper, we investigate the coefficient estimates of a class of m-fold bi-univalent function de?ned by subordination. The results presented in this paper improve or generalize the recent works of other authors.
基金partly supported by the Natural Science Foundation of China(11271045)the Higher School Doctoral Foundation of China(20100003110004)+2 种基金the Natural Science Foundation of Inner Mongolia of China(2010MS0117)athe Higher School Foundation of Inner Mongolia of China(NJZY13298)the Commission for the Scientific Research Projects of Kafkas Univertsity(2012-FEF-30)
文摘In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z（Bκ＋1^c f（z））′= κBκ^c f（z）-（κ- 1）Bκ＋1^c f（z）,where b, c, p ∈ C and κ = p ＋（b ＋ 1）/2 ∈ C ／ Z0^-（Z0^-= {0,-1,-2, … }）. The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out.
基金Supported by the National Natural Science Foundation of China(Grant No.11561001)the Natural Science Foundation of Inner Mongolia Province(Grant No.2014MS0101)
文摘In the present paper, we introduce some new subclasses of harmonic multivalent functions defined by generalized Dziok-Srivastava operator. Sufficient coefficient conditions, distortion bounds and extreme points for functions of these classes are obtained.
基金supported by the National Natural Science Foundation of China(11571262,11731012 and 11971361)。
文摘In this article,we study the hitting probabilities of weighted Poisson processes and their subordinated versions with different intensities.Furthermore,we simulate and analyze the asymptotic properties of the hitting probabilities in different weights and give an example in the case of subordination.
文摘In this paper we proved the A_(p)-weighted inequalities for martingale transforms and differential subordinations of Banach-space-valued regular maringales.We discussed the relations between the weighted inequalities,A_(p)-weight functions and the Banach spaces which has the UMD property or are isomorphic to Hilbert space.
文摘The object of this article is to investigate inclusion, radius, and other various properties of subclasses of multivalent analytic functions, which are defined by using an extended version of the Owa-Srivastava fractional differintegral operator Ω（λ,p）.
文摘This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ： ｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（z）＋（1-α）zf＇（z）/f（z）∈p（U）for all z ∈ U, where αis a real number and p（z）=1＋r^2z^2/1-Tz-T^2z^2（z∈ U）. The number T = （1 -√5）/2 is such that T^2 = 1 ＋ T. The class SFLMa introduced by J. Dziok, R.K. Raina, and J. Sokot [3, Appl. Math. Comput. 218 （2011）, 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.
基金Supported by the Natural Science Foundation of Inner Mongolia Province(Grant No.2014MS0101)
文摘In the present paper, we introduce some new subclasses of meromorphic starlike,convex, close-to-convex and quasi-convex iunctions of β-reciprocal in terms of the linear operator using subordination. We obtain the coefficient estimates, convolution properties, integral preserving properties and inclusion relationships of the classes. The results presented here include several results as their special cases.
基金partially supported by the NationalNatural Science Foundation of China(12071161,11971165,11701307)the Natural Science Foundation of Fujian Province(2020J01073)。
文摘This note is devoted to applying the principle of subordination in order to explore the Roper-Suffridge extension operator and the Pfaltzgraff-Suffridge extension operator with special analytic properties.First,we prove that both the Roper-Suffridge extension operator and the Pfaltzgraff-Suffridge extension operator preserve subordination.As applications,we obtain that if β∈[0,1],γ∈[0,1/r]and β+γ≤1,then the Roper-Suffridge extension operator Φ_(β+γ)(f)(z)=(f(z_(1)),(f(z_(1))/z_(1))^(β)(f’(z_(1)))^(γ)w),z∈Ω_(p,r) preserves an almost starlike mapping of complex order λ on Ω_(p,r)={z=(z_(1),w)∈C×X:|z_(1)|^(p)+‖w‖_(X)^(r)<1},where 1≤p≤2,r≥1 and X is a complex Banach space.Second,by applying the principle of subordination,we will prove that the Pfaltzgraff-Suffridge extension operator preserves an almost starlike mapping of complex order λ.Finally,we will obtain the lower bound of distortion theorems associated with the Roper-Suffridge extension operator.This subordination principle seems to be a new idea for dealing with the Loewner chain associated with the Roper-Suffridge extension operator,and enables us to generalize many known results from p=2 to 1≤p≤2.
基金Supported by the National Natural Science Foundation of China(Grant No.11561001)the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14)+1 种基金the Natural Science Foundation of Inner Mongolia Province(Grant Nos.2014MS0101 2018MS01026)
文摘Let SH be the class of functions f = h + ˉg that are harmonic univalent and sensepreserving in the open unit disk U = {z ∈ C : |z| < 1} for which f(0) = f′(0)-1 = 0. In the present paper, we introduce some new subclasses of SH consisting of univalent and sensepreserving functions defined by convolution and subordination. Sufficient coefficient conditions,distortion bounds, extreme points and convolution properties for functions of these classes are obtained. Also, we discuss the radii of starlikeness and convexity.
文摘We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also derived, and the results generalize some recently ones.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1156100111271045)+4 种基金the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region(Grant No.NJYT-18-A14)the Natural Science Foundation of Inner Mongolia of China(Grant No.2018MS01026)the Higher School Foundation of Inner Mongolia of China(Grant No.NJZY19211)the Natural Science Foundation of Anhui Provincial Department of Education(Grant Nos.KJ2018A0833 KJ2018A0839)
文摘In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the recent works of other authors.
文摘In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.
文摘In this paper, we investigate a subordination property and the coefficient inequality for the class M(1, b), The lower bound is also provided for the real part of functions belonging to the class M(1, b).
文摘Indonesia government has placed politically the chance for women to participate in political field because the women representation is still low if it is compared with men locally and nationally. Meanwhile, the involvement of women in politics becomes one of indicators to determine Gender Empowerment Measurement （GEM）. West Sumatra which is well-known as Bundo Kanduang provides important position for women in making decision, either in custom, nagari, communal society. The aim of the study is to describe women participation in politics. It is also to identify some factors which influence the women representation in legislative level. Qualitative research was used in this study where the data taken from interview, documentation, and observation. 24 candidate of legislative in 2014 were involved in this study. The finding of the study showed that there was only 7.38% women got the position in legislative. The women participation is lower than 2009. The other finding described some factors that influenced the women involvement in parliament. It was caused by： （1） there is a stereotype of society that politics is for men only; （2） the process of selection in politic still subordinate women; （3） lack of publication support in parliament; （4） there is no organization, group and networking which not commit to support women in parliament; （5） there is no good support from family to involved in polities. It is suggested that the government should improve the women representation in legislative.
基金supported by Daegu National University of Education Research grant in 2024.
文摘The object of the present paper is to investigate some mapping properties of subordinations by certain multivalent functions in the open unit disk associated with fractional integral operator.Furthermore,some applications to the integral operator are also pointed out.
文摘For the new subclass B of the bi-univalent functions constructed with the help of the(u,v)-Chebyshev polynomials of the second type,we get estimates for the first two initial coefficients and upper bounds of the Fekete-Szeg o functional.
基金Supported by the Korea Research Foundation from the Korean Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2008-313-C00035)
文摘In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also considered.
文摘The authors obtain subordination and superordination preserving properties for a new defined generalized operator involving the Srivastava-Attiya integral operator. Differential sandwich-type theorems for these univalent functions, and some consequences involving well-known special functions are also presented.
