Subordination and superordination of certain linear operator on meromorphic functions

M. K. Aouf, T. M. Seoudy

Abstract


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.

Keywords


Analytic function; linear operator; Hadamard product; differential subordination; superordination

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References


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DOI: http://dx.doi.org/10.2478/v10062-010-0001-2
Date of publication: 2016-07-29 22:06:15
Date of submission: 2016-07-29 17:30:03


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