New subclass of multivalent hypergeometric meromorphic functions

M. Albehbah, Maslina Darus

Research output: Contribution to journalArticle

Abstract

In this paper, we introduce a new class Σp*(A,B,k)a,c for -1 ≤ B < A ≤ 1 which consists of hypergeometric meromorphic functions of the form Lp* (a,c)f(z) = 1/ zp + Σn=0∞ (a)n+2/(c)n+2an+pzn+p in U* = [z: 0 < |z| < 1].We determine sufficient conditions, distortion properties, radii of starlikeness and convexity and inclusion properties for the class Lp*(a,c)f(z).

Original languageEnglish
Pages (from-to)83-95
Number of pages13
JournalKragujevac Journal of Mathematics
Volume42
Issue number1
Publication statusPublished - 1 Jan 2018

Fingerprint

Hypergeometric Functions
Meromorphic Function
Starlikeness
Convexity
Inclusion
Radius
Sufficient Conditions
Class
Form

Keywords

  • Convex functions
  • Hadamard product
  • Meromorphic functions
  • P-valent hypergeometric functions
  • Starlike functions

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

New subclass of multivalent hypergeometric meromorphic functions. / Albehbah, M.; Darus, Maslina.

In: Kragujevac Journal of Mathematics, Vol. 42, No. 1, 01.01.2018, p. 83-95.

Research output: Contribution to journalArticle

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