An operator defined by convolution involving the polylogarithms functions

K. Al Shaqsi, Maslina Darus

Research output: Contribution to journalArticle

25 Citations (Scopus)

Abstract

We define an operator on the class A of analytic functions in the unit disk U = {z : z < 1} involving the polylogarithms functions and introduce certain new subclasses of A using this operator. Some inclusion results, covering theorem, coefficients inequalities, and several other interesting properties of these classes are obtained.

Original languageEnglish
Pages (from-to)46-50
Number of pages5
JournalJournal of Mathematics and Statistics
Volume4
Issue number1
Publication statusPublished - 2008

Fingerprint

Polylogarithms
Convolution
Coefficient Inequalities
Operator
Unit Disk
Analytic function
Covering
Inclusion
Theorem
Class

Keywords

  • Analytic functions
  • Derivative operate
  • Polylogarithms functions
  • Univalent functions

ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

Cite this

An operator defined by convolution involving the polylogarithms functions. / Al Shaqsi, K.; Darus, Maslina.

In: Journal of Mathematics and Statistics, Vol. 4, No. 1, 2008, p. 46-50.

Research output: Contribution to journalArticle

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