IJPAM: Volume 85, No. 2 (2013)

AN APPLICATION OF MULTIPLIER TRANSFORMATIONS
FOR CERTAIN SUBCLASSES OF MEROMORPHICALLY
P-VALENT FUNCTIONS

H.E. Darwish1, A.Y. Lashin2, S.M. Soileh3
1,2,3Department of Mathematics
Faculty of Science
University of Mansoura
Mansoura, EGYPT


Abstract. In this paper, we introduce the class L(p,m,n,β,λ,l,A,B) of meromorphically p-valent functions and investigate some inclusion properties, coefficient bounds, distortions theorems, δ-neighborhoods and partial sums.We also obtain linear combination, weighted mean, arithmetic mean and convolution properties.

Received: March 9, 2013

AMS Subject Classification: 30C45

Key Words and Phrases: meromorphic functions, differential subordination, convolution (or Hadamard product) p-valent functions, linear transformations, δ-neighborhoods

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DOI: 10.12732/ijpam.v85i2.17 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 2