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DIFFERENTIAL SUBORDINATIONS FOR CLASSES OF MEROMORPHIC p-VALENT FUNCTIONS DEFINED BY MULTIPLIER TRANSFORMATIONS

Part of: Geometric function theory

Published online by Cambridge University Press:  05 April 2011

R. M. EL-ASHWAH ,
M. K. AOUF  and
T. BULBOACĂ
R. M. EL-ASHWAH
Affiliation:
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt (email: [email protected])
M. K. AOUF
Affiliation:
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt (email: [email protected])
T. BULBOACĂ*
Affiliation:
Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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We investigate several inclusion relationships and other interesting properties of certain subclasses of p-valent meromorphic functions, which are defined by using a certain linear operator, involving the generalized multiplier transformations.

Keywords

multiplier transformationsmeromorphic functionsdifferential subordination

MSC classification

Secondary: 30C45: Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 3 , June 2011 , pp. 353 - 368
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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