Integral transforms and probability distributions for a certain class of Fox–Wright type functions and its applications

Anish Kumar and Sourav Das

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 203, issue C, 803-825

Abstract: Main focus of this paper is to introduce a new class of Fox–Wright type functions and obtain several new integral representations and various integral transforms such as Mellin transform, Whittaker transform, Jacobi transform, Gegenbauer transform, Laplace transform, Euler (Beta) transform, Pδ, Rν and Hankel transform. Moreover, a new probability density function is also introduced and several properties are studied. As application, fractional derivative and fractional integration formula are established. The results obtained in this paper, are presumably new and their importance is illustrated by several interesting consequences and examples. Furthermore, numerical computation and graphical representations have been expressed to validate the results.

Keywords: Fox–Wright function; Integral transforms; Riemann–Liouville fractional derivative (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475422003135
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:203:y:2023:i:c:p:803-825

DOI: 10.1016/j.matcom.2022.07.011

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().