Classes of Meromorphic Functions Defined by the Hadamard Product

The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity,...

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Main Author: J. Dziok
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2010/302583
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author J. Dziok
author_facet J. Dziok
author_sort J. Dziok
collection DOAJ
description The object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.
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institution Kabale University
issn 0161-1712
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language English
publishDate 2010-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-d87a638e717e494a9141107e7e8af5b02025-02-03T01:09:41ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/302583302583Classes of Meromorphic Functions Defined by the Hadamard ProductJ. Dziok0Institute of Mathematics, University of Rzeszów, ul. Rejtana 16A, 35-310 Rzeszów, PolandThe object of the present paper is to introduce new classes of meromorphic functions with varying argument of coefficients defined by means of the Hadamard product (or convolution). Several properties like the coefficients bounds, growth and distortion theorems, radii of starlikeness and convexity, and partial sums are investigated. Some consequences of the main results for well-known classes of meromorphic functions are also pointed out.http://dx.doi.org/10.1155/2010/302583
spellingShingle J. Dziok
Classes of Meromorphic Functions Defined by the Hadamard Product
International Journal of Mathematics and Mathematical Sciences
title Classes of Meromorphic Functions Defined by the Hadamard Product
title_full Classes of Meromorphic Functions Defined by the Hadamard Product
title_fullStr Classes of Meromorphic Functions Defined by the Hadamard Product
title_full_unstemmed Classes of Meromorphic Functions Defined by the Hadamard Product
title_short Classes of Meromorphic Functions Defined by the Hadamard Product
title_sort classes of meromorphic functions defined by the hadamard product
url http://dx.doi.org/10.1155/2010/302583
work_keys_str_mv AT jdziok classesofmeromorphicfunctionsdefinedbythehadamardproduct