We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obt...We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obtain some new characterizations of quasiconformal extendablity and asymptotic conformality for univalent functions.展开更多
The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials. The consequences presented here ...The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials. The consequences presented here point out and correct the errors of some earlier results.展开更多
In this paper,we define new subclasses of bi-univalent functions involving a differ-ential operator in the open unit disc△={z:z∈C and|z|<1}:Moreover,we use the Faber polynomial expansion to obtain the bounds of t...In this paper,we define new subclasses of bi-univalent functions involving a differ-ential operator in the open unit disc△={z:z∈C and|z|<1}:Moreover,we use the Faber polynomial expansion to obtain the bounds of the coefficients for functions belong to the subclasses.展开更多
In this paper we introduce and investigate a new generalized class of bi-univalent functions defined by using(s,t)-derivative operator and quasi-subordination.We obtain the estimates of the first two coefficients|a2|,...In this paper we introduce and investigate a new generalized class of bi-univalent functions defined by using(s,t)-derivative operator and quasi-subordination.We obtain the estimates of the first two coefficients|a2|,|a3|and general coefficient|an|(n≥4)by using Faber polynomial expansion for the new class and some of its subclasses.And then we solve Fekete-Szegoprobelm for the newly defined classes.展开更多
基金supported by the Program for New Century Excellent Talents in University (Grant No. 06-0504)National Natural Science Foundation of China (Grant No. 10771153)
文摘We obtain some convergence properties concerning Faber polynomials and apply them to studying univalent functions with quasiconformal extensions. In particular, by introducing an operator on the usual l2 space, we obtain some new characterizations of quasiconformal extendablity and asymptotic conformality for univalent functions.
基金Supported by the National Natural Science Foundation of China(Grant No.11401041)
文摘The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber polynomials. The consequences presented here point out and correct the errors of some earlier results.
文摘In this paper,we define new subclasses of bi-univalent functions involving a differ-ential operator in the open unit disc△={z:z∈C and|z|<1}:Moreover,we use the Faber polynomial expansion to obtain the bounds of the coefficients for functions belong to the subclasses.
基金Supported by the Natural Science Foundation of Inner Mongolia Autonomous Region(Grant No.2020MS01010)the Higher-School Science Foundation of Inner Mongolia Autonomous Region(Grant No.NJZY19211).
文摘In this paper we introduce and investigate a new generalized class of bi-univalent functions defined by using(s,t)-derivative operator and quasi-subordination.We obtain the estimates of the first two coefficients|a2|,|a3|and general coefficient|an|(n≥4)by using Faber polynomial expansion for the new class and some of its subclasses.And then we solve Fekete-Szegoprobelm for the newly defined classes.
