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2009 / March Volume 4 No.1
Subclasses of meromorphically p-valent functions with negative coefficients associated with a linear operator
Published Date
2009 / March
Title
Subclasses of meromorphically p-valent functions with negative coefficients associated with a linear operator
Author
M. K. Aouf, R. M. El-Ashwah
Keyword
Meromorphic, analytic functions, linear operator., Meromorphic, analytic functions, linear operator
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Pagination
97-118
Abstract
The aim of this paper is to investigate various inclusion relations and some other properties of a certain subclasses $ \Lambda_{p,k}(\alpha, A, B, n)$ and $ \Lambda^*_{p,k}(\alpha, A, B, n)$ of meromorphically p-valent analytic funtions with negative coefficients which are defined here by means of a linear operator. The familier concept of neighborhoods of analytic functions is also extended and applied to the functions considered here. We also derive many interesting results for the modified Hadamard products of functions belonging to the class $\Lambda^*_{p,k}(\alpha, A, B, n)$.
AMS Subject
Classification
30C45
Received
2008-07-29
Accepted
2008-09-30
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