The extended Mittag-Leffler function and its properties

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dc.contributor.authorÖzarslan, Mehmet Ali
dc.contributor.authorYılmaz, Banu
dc.date.accessioned2017-10-23T08:26:45Z
dc.date.available2017-10-23T08:26:45Z
dc.date.issued2014
dc.departmentEastern Mediterranean University, Faculty of Arts & Sciences, Department of Mathematicsen_US
dc.descriptionThe file in this item is the publisher version (published version) of the articleen_US
dc.description.abstractIn this paper, we present the extended Mittag-Leffler functions by using the extended Beta functions (Chaudhry et al. in Appl. Math. Comput. 159:589-602, 2004) and obtain some integral representations of them. The Mellin transform of these functions is given in terms of generalized Wright hypergeometric functions. Furthermore, we show that the extended fractional derivative (Özarslan and Özergin in Math. Comput. Model. 52:1825-1833, 2010) of the usual Mittag-Leffler function gives the extended Mittag-Leffler function. Finally, we present some relationships between these functions and the Laguerre polynomials and Whittaker functions.en_US
dc.identifier.doi10.1186/1029-242X-2014-85
dc.identifier.endpage10en_US
dc.identifier.issn1029-242X(online)
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84899746242
dc.identifier.scopusqualityQ1
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1186/1029-242X-2014-85
dc.identifier.urihttps://hdl.handle.net/11129/3463
dc.identifier.volume2014en_US
dc.identifier.wosWOS:000332084500002
dc.identifier.wosqualityQ1
dc.indekslendigikaynakScopus
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherSpringer International Publishingen_US
dc.relation.ispartofJournal of Inequalities and Applications
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectMittag-Leffler extended Beta functions fractional derivative Mellin transformen_US
dc.subjectLaguerre polynomials Whittaker functions Wright generalized hypergeometric functionsen_US
dc.titleThe extended Mittag-Leffler function and its propertiesen_US
dc.typeArticle

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