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A new criterion for meromorphically \(p\)-valent convex functions of order alpha. (English) Zbl 0893.30011

From the author’s abstract: By making use of a familiar analogue of the Ruscheweyh derivative, the authors introduce and study a certain class of \(p\)-valent meromorphically convex functions of order \(\alpha\). The various properties obtained here for this class extend the corresponding results given by earlier workers on the subject.

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
30D30 Meromorphic functions of one complex variable (general theory)
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