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An integral operator associated with the Hurwitz-Lerch zeta function and differential subordination. (English) Zbl 1112.30007
Summary: The main object of this article is to introduce and investigate an integral operator $J_{s, b}(f)$ defined, by using the Hurwitz-Lerch Zeta function, on the various subclasses of the class of normalized analytic functions $f$ in the open unit disk $\mathbb U$. Using the technique of differential subordination, an interesting property of the general integral operator $J_{s, b}(f)$ is obtained. Some applications of the results presented here are also considered.

30C10Polynomials (one complex variable)
30C45Special classes of univalent and multivalent functions
11M35Hurwitz and Lerch zeta functions
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