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Sufficient conditions for strongly star-like functions involving the generalized Srivastava-Attiya operator. (English) Zbl 1207.30017

Summary: By using the method of differential subordination, we derive certain sufficient conditions for strongly starlike functions associated with the generalized Srivastava-Attiya operator. All results presented here are sharp.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30C10 Polynomials and rational functions of one complex variable
11M35 Hurwitz and Lerch zeta functions
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