Please use this identifier to cite or link to this item: http://prr.hec.gov.pk/jspui/handle/123456789/20041
Title: Generalized Wright-type Functions and their Applications
Authors: Naheed, Saima
Keywords: Physical Sciences
Mathematics
Issue Date: 2022
Publisher: University of Sargodha, Sargodha.
Abstract: Special functions have significant role for solving problems in mathematical analysis and mathematical physics. Several problems of fractional calculus are solved with the help of these functions. Numerous extensions of special functions have devel oped in literature. The generalization of special functions provides new connections that had not been seen before, between seemingly unrelated functions. In addition to this theory, we explore generalization of normalized Wright function and normal ized Fox-Wright function. An extension of generalized Lommel–Wright function and Mittag-Leffler function with 2m parameters is also established. We discuss the extension of Redheffer-type inequalities involving the generalized form of normalized Fox-Wright function. The Saigo fractional integral and derivative operators of extended Lommel–Wright function furnish interesting formulas in terms of Wright function. Furthermore, the extended beta transform is applied to such obtained formulas. The solution to the generalized fractional kinetic equation involv ing generalized Lommel–Wright function is also part of this study. The composition formulae using Marichev-Saigo-Maeda fractional integral and differential operators, Lavoie-Trottier and Oberhettinger integral operator with the product of Srivastava’s Polynomials and extended Wright function are also established.
Gov't Doc #: 25479
URI: http://prr.hec.gov.pk/jspui/handle/123456789/20041
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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