Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions

Applying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a given gap series condition. Our results improve s...

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Main Authors: Jay M. Jahangiri, Samaneh G. Hamidi
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2015/161723
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author Jay M. Jahangiri
Samaneh G. Hamidi
author_facet Jay M. Jahangiri
Samaneh G. Hamidi
author_sort Jay M. Jahangiri
collection DOAJ
description Applying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a given gap series condition. Our results improve some of the coefficient bounds published earlier.
format Article
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institution Kabale University
issn 0161-1712
1687-0425
language English
publishDate 2015-01-01
publisher Wiley
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-0631ea7213fa4f4983af46aa9f51c50e2025-02-03T06:48:07ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/161723161723Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike FunctionsJay M. Jahangiri0Samaneh G. Hamidi1Department of Mathematical Sciences, Kent State University, Burton, OH 44021-9500, USADepartment of Mathematics, Brigham Young University, Provo, UT 84602, USAApplying the Faber polynomial coefficient expansions to certain classes of meromorphic bistarlike functions, we demonstrate the unpredictability of their early coefficients and also obtain general coefficient estimates for such functions subject to a given gap series condition. Our results improve some of the coefficient bounds published earlier.http://dx.doi.org/10.1155/2015/161723
spellingShingle Jay M. Jahangiri
Samaneh G. Hamidi
Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
International Journal of Mathematics and Mathematical Sciences
title Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
title_full Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
title_fullStr Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
title_full_unstemmed Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
title_short Faber Polynomial Coefficients of Classes of Meromorphic Bistarlike Functions
title_sort faber polynomial coefficients of classes of meromorphic bistarlike functions
url http://dx.doi.org/10.1155/2015/161723
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AT samanehghamidi faberpolynomialcoefficientsofclassesofmeromorphicbistarlikefunctions