On Some Subclasses of Harmonic Functions Defined by Fractional Calculus

The purpose of this paper is to study subclasses of normalized harmonic functions with positive real part using fractional derivative. Sharp estimates for coefficients and distortion theorems are given.

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Bibliographic Details
Main Authors: R. A. Al-Khal, H. A. Al-Kharsani
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2008/576571
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author R. A. Al-Khal
H. A. Al-Kharsani
author_facet R. A. Al-Khal
H. A. Al-Kharsani
author_sort R. A. Al-Khal
collection DOAJ
description The purpose of this paper is to study subclasses of normalized harmonic functions with positive real part using fractional derivative. Sharp estimates for coefficients and distortion theorems are given.
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institution Kabale University
issn 0161-1712
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publishDate 2008-01-01
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series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-6bf5b7f6822a4a099fcbf8bb6df4f3022025-02-03T00:59:55ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/576571576571On Some Subclasses of Harmonic Functions Defined by Fractional CalculusR. A. Al-Khal0H. A. Al-Kharsani1Department of Mathematics, Faculty of Science, Girls College, P.O. Box 838, Dammam 31113, Saudi ArabiaDepartment of Mathematics, Faculty of Science, Girls College, P.O. Box 838, Dammam 31113, Saudi ArabiaThe purpose of this paper is to study subclasses of normalized harmonic functions with positive real part using fractional derivative. Sharp estimates for coefficients and distortion theorems are given.http://dx.doi.org/10.1155/2008/576571
spellingShingle R. A. Al-Khal
H. A. Al-Kharsani
On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
International Journal of Mathematics and Mathematical Sciences
title On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
title_full On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
title_fullStr On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
title_full_unstemmed On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
title_short On Some Subclasses of Harmonic Functions Defined by Fractional Calculus
title_sort on some subclasses of harmonic functions defined by fractional calculus
url http://dx.doi.org/10.1155/2008/576571
work_keys_str_mv AT raalkhal onsomesubclassesofharmonicfunctionsdefinedbyfractionalcalculus
AT haalkharsani onsomesubclassesofharmonicfunctionsdefinedbyfractionalcalculus