Owa, Shigeyoshi; Attiya, A. A. An application of differential subordinations to the class of certain analytic functions. (English) Zbl 1176.30053 Taiwanese J. Math. 13, No. 2A, 369-375 (2009). Summary: For functions belonging to a general class \(\mathcal R_p(k,\alpha,\lambda)\) of analytic functions in the open unit disc \(\mathbb U=\{z:| z|<1\}\), which are investigated int this paper, some applications of differential subordination are obtained, which contain an interesting property of the Hurwitz-Lerch Zeta function. Cited in 4 Documents MSC: 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) 30C80 Maximum principle, Schwarz’s lemma, Lindelöf principle, analogues and generalizations; subordination Keywords:differential subordination; convex function; Hurwitz-Lerch Zeta function PDFBibTeX XMLCite \textit{S. Owa} and \textit{A. A. Attiya}, Taiwanese J. Math. 13, No. 2A, 369--375 (2009; Zbl 1176.30053) Full Text: DOI