Displaying similar documents to “Some results on normal family of meromorphic functions.”

Simple sufficient conditions for starlikeness and convexity for meromorphic functions

Pranay Goswami, Teodor Bulboacă, Rubayyi T. Alqahtani (2016)

Open Mathematics

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In this paper we investigate some extensions of sufficient conditions for meromorphic multivalent functions in the open unit disk to be meromorphic multivalent starlike and convex of order α. Our results unify and extend some starlikeness and convexity conditions for meromorphic multivalent functions obtained by Xu et al. [2], and some interesting special cases are given.

Majorization for certain classes of meromorphic functions defined by integral operator

S. P. Goyal, Pranay Goswami (2012)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin.