An Operator Defined by Convolution Involving the Polylogarithms Functions

By K. A. Shaqsi, Maslina Darus. 2008

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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.

Subfields: Geometry and Topology, Materials Chemistry, Polymers and Plastics

View Paper: https://www.semanticscholar.org/paper/e2fdfe914e303c347866463fecdf9f7ed11d67a5