IJPAM: Volume 85, No. 2 (2013)
AN APPLICATION OF MULTIPLIER TRANSFORMATIONS
FOR CERTAIN SUBCLASSES OF MEROMORPHICALLY
P-VALENT FUNCTIONS
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
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