Coefficient inequalities for certain subclasses of multivalent functions associated with conic domain

Journal of inequalities and applications

article

Muhammad Sabil Ur Rehman¹  Qazi Zahoor Ahmad¹  H. M. Srivastava³  Nazar Khan¹  Maslina Darus⁶  Muhammad Tahir¹ 

[1] Department of Mathematics, Abbottabad University of Science and Technology;Government Akhtar Nawaz Khan (Shaheed) Degree College;Department of Mathematics and Statistics, University of Victoria;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics and Informatics, Azerbaijan University;Department of Mathematical Sciences, Faculty of Sciences and Technology, Universiti Kebangsaan Malaysia

关键词: Analytic functions;    Univalent functions;    Convex and q -convex functions;    Starlike and q -starlike functions;    q -Derivative operator;    q -Hypergeometric functions;   

DOI  :  10.1186/s13660-020-02446-1

学科分类：电力

来源: SpringerOpen

【 摘 要 】

A number of families of q-extensions of analytic functions in the open unit disk $\mathbb{U}$ have been defined by means of basic (or q-)calculus and considered from many distinctive prospectives and viewpoints. In this paper, we generalize and study certain subclasses of analytic functions involving higher-order q-derivative operators. We settle characteristic equations for these presumably new classes and also study numerous coefficient inequalities. For the results obtained in this presentation, we also carry out appropriate connections with those in multiple other concerning works on this subject.

【 授权许可】

CC BY