Simple sufficient conditions for starlikeness and convexity for meromorphic functions

• Autorzy: Pranay Goswami , Teodor Bulboacă , Rubayyi T. Alqahtani
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Meromorphic functions; Multivalent functions; Meromorphic starlike functions; Meromorphic convex functions; Analytic branch

Kategorie tematyczne

• 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 557-566

Daty

wydano

2016-01-01

otrzymano

2016-01-31

zaakceptowano

2016-06-10

online

2016-08-12

Twórcy

autor

Pranay Goswami

• School of Liberal Studies, Ambedkar University Delhi, Delhi-110006,,

autor

Teodor Bulboacă

• Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca,,

autor

Rubayyi T. Alqahtani,

Identyfikatory

DOI

10.1515/math-2016-0050