Simple sufficient conditions for starlikeness and convexity for meromorphic functions

Open Mathematics

Alqahtani Rubayyi T.¹  Bulboacă Teodor²  Goswami Pranay³ 

[1] ;Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania;School of Liberal Studies, Ambedkar University Delhi, Delhi-110006, India;

关键词: meromorphic functions;    multivalent functions;    meromorphic starlike functions;    meromorphic convex functions;    analytic branch;    30c45;   

DOI  :  10.1515/math-2016-0050

来源: DOAJ

【 摘 要 】

In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for meromorphic multivalent functions obtained by Xu et al. [2], and some interesting special cases are given.

【 授权许可】

Unknown