×

An operator defined by convolution involving the polylogarithms functions. (English) Zbl 1155.30303

Summary: We define an operator on the class \(A\) of analytic functions in the unit disk \(\mathbb U=\{z:|z|<1\}\) 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.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
PDF BibTeX XML Cite