In this paper, we introduce two subclasses Eq *(φ) and ∑*q,a(φ) of meromorphic functions f(z) for which qzDqf(z)/f(z)〈φ (z) and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(...In this paper, we introduce two subclasses Eq *(φ) and ∑*q,a(φ) of meromorphic functions f(z) for which qzDqf(z)/f(z)〈φ (z) and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(z),a ∈ C/(0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.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.
Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of p-valent analytic functions which are defined by Cho-Kwon Srivast ava Operator.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1156100111271045)+8 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(Grant Nos.2010MS01172014MS01012017MS0113)the Higher School Foundation of Inner Mongolia(Grant Nos.NJZY16251NJZY17300NJZY17301NJZY18217)the Natural Science Foundation of Chifeng
文摘In this paper, we introduce two subclasses Eq *(φ) and ∑*q,a(φ) of meromorphic functions f(z) for which qzDqf(z)/f(z)〈φ (z) and-(1-a/q)qzDqf(z)+azqDq[zDqf(z)]/(1-a/q)f(z)-azDqf(z)〈φ(z),a ∈ C/(0,1],0〈q〈1, respectively. Sharp bounds for the Fekete-Szeg5 functional lal-tta21 of the above classes are obtained. Also, we consider some applications of the results obtained to functions defined by q-Bessel function.
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Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of p-valent analytic functions which are defined by Cho-Kwon Srivast ava Operator.