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Zbl 1176.30053
Owa, Shigeyoshi; Attiya, A.A.
An application of differential subordinations to the class of certain analytic functions.
(English)
[J] Taiwanese J. Math. 13, No. 2A, 369-375 (2009). ISSN 1027-5487

Summary: For functions belonging to a general class $\Cal R_p(k,\alpha,\lambda)$ of analytic functions in the open unit disc $\mathbb U=\{z:\vert z\vert<1\}$, which are investigated int this paper, some applications of differential subordination are obtained, which contain an interesting property of the Hurwitz-Lerch Zeta function.
MSC 2000:
*30C45 Special classes of univalent and multivalent functions
30C80 Maximum principle, etc. (one complex variable)

Keywords: differential subordination; convex function; Hurwitz-Lerch Zeta function

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