Displaying similar documents to “Differential subordination and 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.

Classes of meromorphic multivalent functions with Montel’s normalization

Jacek Dziok (2012)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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In the paper we define classes of meromorphic multivalent functions with Montel’s normalization. We investigate the coefficients estimates, distortion properties, the radius of starlikeness, subordination theorems and partial sums for the defined classes of functions. Some remarks depicting consequences of the main results are also mentioned.

Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives

Xiao-Min Li, Hong-Xun Yi (2010)

Annales Polonici Mathematici

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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.

Subordination and superordination of certain linear operator on meromorphic functions

M. K. Aouf, T. M. Seoudy (2010)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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Using the methods of differential subordination and superordination, sufficient conditions are determined on the differential linear operator of meromorphic functions in the punctured unit disk to obtain, respectively, the best dominant and the best subordinant. New sandwich-type results are also obtained.