A CRITICAL STUDY OF MEROMORPHIC STARLIKE FUNCTIONS

An attempt has been made to introduce a new criterion to make it possible to change meromorphic analytic function into a meromorphic starlike function of particular order. This criterion is based on a differential operator which is defined in a punctured unit disk U*. By using this criterion, one ca...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics 2018-01, Vol.8 (1A), p.238
Main Authors: Faisal, Imran, Darus, M, Shah, F.A
Format: Article
Language:English
Subjects:
Analytic functions
Criteria
Differential equations
Functions (Mathematics)
Mathematical analysis
Mathematical research
Operator theory
Operators (mathematics)
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Summary:An attempt has been made to introduce a new criterion to make it possible to change meromorphic analytic function into a meromorphic starlike function of particular order. This criterion is based on a differential operator which is defined in a punctured unit disk U*. By using this criterion, one can find easily different types of meromorphic starlike functions of specific order.Keywords: Meromorphic functions, meromorphic starlike functions, differential operators.AMS Subject Classification: Primary 30C45
ISSN:2146-1147
2146-1147