Displaying similar documents to “Infinitely many asymptotic values of locally univalent meromorphic functions.”

Subordination and superordination of certain linear operator on meromorphic functions

M. Aouf, T. Seoudy (2010)

Annales UMCS, 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.

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.

Classes of meromorphic multivalent functions with Montel’s normalization

Jacek Dziok (2012)

Annales UMCS, 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.