Research Article Open Access

An Operator Defined by Convolution Involving the Polylogarithms Functions

K. Al Shaqsi and M. Darus

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.

Journal of Mathematics and Statistics
Volume 4 No. 1, 2008, 46-50

DOI: https://doi.org/10.3844/jmssp.2008.46.50

Submitted On: 3 May 2008 Published On: 31 March 2008

How to Cite: Al Shaqsi, K. & Darus, M. (2008). An Operator Defined by Convolution Involving the Polylogarithms Functions. Journal of Mathematics and Statistics, 4(1), 46-50. https://doi.org/10.3844/jmssp.2008.46.50

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Keywords

  • Analytic functions
  • univalent functions
  • polylogarithms functions
  • derivative operato