An Extension of Wright Function and Its Properties
The paper is devoted to the study of the function Wα,βγ,δ(z), which is an extension of the classical Wright function and Kummer confluent hypergeometric function. The properties of Wα,βγ,δ(z) including its auxiliary functions and the integral representations are proven.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/950728 |
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| _version_ | 1832550326805200896 |
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| author | Moustafa El-Shahed Ahmed Salem |
| author_facet | Moustafa El-Shahed Ahmed Salem |
| author_sort | Moustafa El-Shahed |
| collection | DOAJ |
| description | The paper is devoted to the study of the function Wα,βγ,δ(z), which is an extension of the classical Wright function and Kummer confluent hypergeometric function. The properties of Wα,βγ,δ(z) including its auxiliary functions and the integral representations are proven. |
| format | Article |
| id | doaj-art-09b5be8075354878832e2e83f9511161 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-09b5be8075354878832e2e83f95111612025-02-03T06:06:56ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/950728950728An Extension of Wright Function and Its PropertiesMoustafa El-Shahed0Ahmed Salem1Unaizah Faculty of Arts and Sciences, Qassim University, P.O. Box 3771, Unaizah, Qassim 51431, Saudi ArabiaFaculty of Information Systems & Computer Science, October 6 University, Sixth of October City, Giza 12585, EgyptThe paper is devoted to the study of the function Wα,βγ,δ(z), which is an extension of the classical Wright function and Kummer confluent hypergeometric function. The properties of Wα,βγ,δ(z) including its auxiliary functions and the integral representations are proven.http://dx.doi.org/10.1155/2015/950728 |
| spellingShingle | Moustafa El-Shahed Ahmed Salem An Extension of Wright Function and Its Properties Journal of Mathematics |
| title | An Extension of Wright Function and Its Properties |
| title_full | An Extension of Wright Function and Its Properties |
| title_fullStr | An Extension of Wright Function and Its Properties |
| title_full_unstemmed | An Extension of Wright Function and Its Properties |
| title_short | An Extension of Wright Function and Its Properties |
| title_sort | extension of wright function and its properties |
| url | http://dx.doi.org/10.1155/2015/950728 |
| work_keys_str_mv | AT moustafaelshahed anextensionofwrightfunctionanditsproperties AT ahmedsalem anextensionofwrightfunctionanditsproperties AT moustafaelshahed extensionofwrightfunctionanditsproperties AT ahmedsalem extensionofwrightfunctionanditsproperties |