Simple sufficient conditions for starlikeness and convexity for meromorphic functions
Pranay Goswami; Teodor Bulboacă; Rubayyi T. Alqahtani
Open Mathematics (2016)
- Volume: 14, Issue: 1, page 557-566
- ISSN: 2391-5455
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topPranay Goswami, Teodor Bulboacă, and Rubayyi T. Alqahtani. "Simple sufficient conditions for starlikeness and convexity for meromorphic functions." Open Mathematics 14.1 (2016): 557-566. <http://eudml.org/doc/285556>.
@article{PranayGoswami2016,
abstract = {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.},
author = {Pranay Goswami, Teodor Bulboacă, Rubayyi T. Alqahtani},
journal = {Open Mathematics},
keywords = {Meromorphic functions; Multivalent functions; Meromorphic starlike functions; Meromorphic convex functions; Analytic branch; meromorphic functions; star-like functions; convex functions},
language = {eng},
number = {1},
pages = {557-566},
title = {Simple sufficient conditions for starlikeness and convexity for meromorphic functions},
url = {http://eudml.org/doc/285556},
volume = {14},
year = {2016},
}
TY - JOUR
AU - Pranay Goswami
AU - Teodor Bulboacă
AU - Rubayyi T. Alqahtani
TI - Simple sufficient conditions for starlikeness and convexity for meromorphic functions
JO - Open Mathematics
PY - 2016
VL - 14
IS - 1
SP - 557
EP - 566
AB - 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.
LA - eng
KW - Meromorphic functions; Multivalent functions; Meromorphic starlike functions; Meromorphic convex functions; Analytic branch; meromorphic functions; star-like functions; convex functions
UR - http://eudml.org/doc/285556
ER -
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