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Liu, Jin-Lin

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

Integral Transforms Spec. Funct. 22, No. 1-3, 79-90 (2011).
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.

Cited in 7 Documents

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

Keywords:

strongly starlike function; subordination; Hadamard product; Hurwitz-Lerch zeta function; Srivastava-Attiya operator
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\textit{J.-L. Liu}, Integral Transforms Spec. Funct. 22, No. 1--3, 79--90 (2011; Zbl 1207.30017)
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