Fractional calculus of generalized Lommel-Wright function and its extended Beta transform

In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform. The novelty and the...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 8; pp. 8276 - 8293
Main Authors Naheed, Saima, Mubeen, Shahid, Abdeljawad, Thabet
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
generalized fractional operators
generalized lommel-wright function
integral transform
k-wright function
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Summary:In this work, we apply generalized Saigo fractional differential and integral operators having k-hypergeometric function as a kernel, to extended Lommel-Wright function. The results are communicated in the form of the k-Wright function and are utilized to compute beta transform. The novelty and the generalization of the obtained results are shown by relating them with existing literature as special cases.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021479