On meromorphic functions defined by a new operator containing the Mittag-Leffler function

Suhila Elhaddad, Maslina Darus

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This study defines a new linear differential operator via the Hadamard product between a q-hypergeometric function and Mittag-Leffler function. The application of the linear differential operator generates a new subclass of meromorphic function. Additionally, the study explores various properties and features, such as convex properties, distortion, growth, coefficient inequality and radii of starlikeness. Finally, the work discusses closure theorems and extreme points.

Original languageEnglish
Article number210
JournalSymmetry
Volume11
Issue number2
DOIs
Publication statusPublished - 1 Feb 2019

Fingerprint

meromorphic functions
Mittag-Leffler Function
Linear Differential Operator
differential operators
Meromorphic Function
Mathematical operators
Coefficient Inequalities
Starlikeness
operators
Hadamard Product
hypergeometric functions
Hypergeometric Functions
Extreme Points
Operator
closures
Closure
theorems
Radius
radii
coefficients

Keywords

  • Differential operator
  • Hadamard product
  • Meromorphic function
  • Mittag-Leffler function
  • Q-hypergeometric functions

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

On meromorphic functions defined by a new operator containing the Mittag-Leffler function. / Elhaddad, Suhila; Darus, Maslina.

In: Symmetry, Vol. 11, No. 2, 210, 01.02.2019.

Research output: Contribution to journalArticle

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