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Zbl 1160.30325
Prajapat, J.K.; Goyal, S.P.
Applications of Srivastava-Attiya operator to the classes of strongly starlike and strongly convex functions. (English)
[J] J. Math. Inequal. 3, No. 1, 129-137 (2009). ISSN 1846-579X

Summary: The Srivastava-Attiya operator is used to define some new subclasses of strongly starlike and strongly convex functions of order $\beta$ and type $\alpha$ in the open unit disk $\Bbb U$. For each of these new function classes, several inclusion relationships are established. Some interesting corollaries and applications of the results presented here are also discussed.

MSC 2000:: *30C45 Special classes of univalent and multivalent functions
11M35 Other zeta functions

Keywords: analytic function; strongly starlike function; strongly convex function; Hurwitz-Lerch zeta function; Srivastava-Attiya operator; inclusion relations

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Zentralblatt MATH Berlin [Germany]