2022
DOI: 10.3390/fractalfract6020093
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Abstract: Many authors have established various integral and differential formulas involving different special functions in recent years. In continuation, we explore some image formulas associated with the product of Srivastava’s polynomials and extended Wright function by using Marichev–Saigo–Maeda fractional integral and differential operators, Lavoie–Trottier and Oberhettinger integral operators. The obtained outcomes are in the form of the Fox–Wright function. It is worth mentioning that some interesting special cas… Show more

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Cited by 3 publications
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“…The extensions of Mittag-Leffler function is an interesting topic for researchers in which the classical notions linked with predefined Mittag-Leffler functions are investigated in more general prospect, see [9][10][11]. The Wright function is the generalization of hypergeometric function and several other special functions based on the gamma function, see [12][13][14][15]. The extensions of Mittag-Leffler function which are due to the gamma function can be obtained from the Wright function.…”
Section: Introduction and Preliminary Resultsmentioning
confidence: 99%
See 1 more Smart Citation
“…The extensions of Mittag-Leffler function is an interesting topic for researchers in which the classical notions linked with predefined Mittag-Leffler functions are investigated in more general prospect, see [9][10][11]. The Wright function is the generalization of hypergeometric function and several other special functions based on the gamma function, see [12][13][14][15]. The extensions of Mittag-Leffler function which are due to the gamma function can be obtained from the Wright function.…”
Section: Introduction and Preliminary Resultsmentioning
confidence: 99%
“…Proof. In (13) writing the Wright generalized function in terms of Mellin-Barnes integral by using (11), one can have (15).…”
Section: Relationship Of Mmentioning
confidence: 99%