Prajapat, J. K.; Goyal, S. P. Applications of Srivastava-Attiya operator to the classes of strongly starlike and strongly convex functions. (English) Zbl 1160.30325 J. Math. Inequal. 3, No. 1, 129-137 (2009). 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 \(\mathbb U\). 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. Cited in 15 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 11M35 Hurwitz and Lerch zeta functions Keywords:analytic function; strongly starlike function; strongly convex function; Hurwitz-Lerch zeta function; Srivastava-Attiya operator; inclusion relations PDFBibTeX XMLCite \textit{J. K. Prajapat} and \textit{S. P. Goyal}, J. Math. Inequal. 3, No. 1, 129--137 (2009; Zbl 1160.30325) Full Text: DOI Link