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Zbl 1189.30045
Wang, Zhi-Gang; Sun, Yong; Zhang, Zhi-Hua
Certain classes of meromorphic multivalent functions. (English)
[J] Comput. Math. Appl. 58, No. 7, 1408-1417 (2009). ISSN 0898-1221

Summary: We introduce and investigate two new classes of meromorphic multivalent functions. Such results as subordination properties, coefficient inequalities, convolution properties and integral representations are proved. Several sufficient conditions for meromorphic multivalent starlikeness and convexity are also derived.

MSC 2000:: *30C45 Special classes of univalent and multivalent functions
30C50 Coefficient problems for univalent and multivalent functions
30C80 Maximum principle, etc. (one complex variable)

Keywords: meromorphic multivalent functions; meromorphic starlike functions; meromorphic convex functions; subordination between analytic functions; Hadamard product (or convolution)

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