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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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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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. |
format | Article |
id | doaj-art-d87a638e717e494a9141107e7e8af5b0 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
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 |