An investigation into the polylogarithm function and its associated class of meromorphic functions

Hari M. Srivastava, Khadeejah Rasheed Alhindi, Maslina Darus

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In the literature on geometric function theory in complex analysis, one can find many interesting applications of a variety of convolution operators which are defined by means of a number of special functions of mathematical physics and analytic number theory. Here in our present article we apply a new operator Ωs, which is associated with the polylogarithm function (or de Jonquière’s function) Lis (z), with a view to introducing and systematically investigating the various properties and characteristics of a potentially useful subclass of meromorphic functions in the punctured unit disk.

Original languageEnglish
Pages (from-to)166-174
Number of pages9
JournalMaejo International Journal of Science and Technology
Volume10
Issue number2
Publication statusPublished - 1 May 2016

Fingerprint

Polylogarithms
Meromorphic Function
Convolution Operator
Complex Analysis
Special Functions
Number theory
Unit Disk
Physics
Operator
Class

Keywords

  • Coefficient inequalities
  • Hadamard product
  • Hurwitz-Lerch zeta function
  • Meromorphic continuation
  • Meromorphic functions
  • Partial sum
  • Polylogarithm function (or de Jonquière’s function)

ASJC Scopus subject areas

  • General

Cite this

An investigation into the polylogarithm function and its associated class of meromorphic functions. / Srivastava, Hari M.; Alhindi, Khadeejah Rasheed; Darus, Maslina.

In: Maejo International Journal of Science and Technology, Vol. 10, No. 2, 01.05.2016, p. 166-174.

Research output: Contribution to journalArticle

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