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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Format: | Article |
Language: | English |
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Wiley
2008-01-01
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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. |
format | Article |
id | doaj-art-6bf5b7f6822a4a099fcbf8bb6df4f302 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2008-01-01 |
publisher | Wiley |
record_format | Article |
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 |