A New Extension of the t-Gauss Hypergeometric Function and Its Associated Properties

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorTassaddiq, Asifa
dc.contributor.authorRahman, Gauhar
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorKhan, Ilyas
dc.date.accessioned2019-11-21T20:10:27Z
dc.date.available2019-11-21T20:10:27Z
dc.date.copyright2019en_US
dc.date.issued2019
dc.description.abstractIn this article, we define an extended version of the Pochhammer symbol and then introduce the corresponding extension of the t-Gauss hypergeometric function. The basic properties of the extended t-Gauss hypergeometric function, including integral and derivative formulas involving the Mellin transform and the operators of fractional calculus, are derived. We also consider some new and known results as consequences of our proposed extension of the t-Gauss hypergeometric function.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThis research was funded by Deanship of Scientific Research at Majmaah University grant number (RGP-2019-28).en_US
dc.identifier.citationSrivastava, H.M., Tassaddiq, A., Rahman, G., Nisar, K.S. & Khan, I. (2019). A New Extension of the t-Gauss Hypergeometric Function and Its Associated Properties. Mathematics, 7(10), 996. http://dx.doi.org/10.3390/math7100996en_US
dc.identifier.urihttp://dx.doi.org/10.3390/math7100996
dc.identifier.urihttp://hdl.handle.net/1828/11334
dc.language.isoenen_US
dc.publisherMathematicsen_US
dc.subjectgamma function and its extension
dc.subjectPochhammer symbol and its extensions
dc.subjecthypergeometric function and its extensions
dc.subjectt-Gauss hypergeometric function and its extensions
dc.subjectt-Kummer hypergeometric function
dc.subjectFox-Wright function
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA New Extension of the t-Gauss Hypergeometric Function and Its Associated Propertiesen_US
dc.typeArticleen_US

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