Further Results on the Analogue of Hypergeometric Functions Associated with Fractional Calculus Operators

Muajebah Hidan, Salah Mahmoud Boulaaras, Bahri-Belkacem Cherif and Mohamed Abdalla

Mathematical Problems in Engineering, 2021, vol. 2021, 1-10

Abstract:

In a previous article, first and last researchers introduced an extension of the hypergeometric functions which is called “ - extended hypergeometric functions.†Motivated by this work, here, we derive several novel properties for these functions, including integral representations, derivative formula, k-Beta transform, Laplace and inverse Laplace transforms, and operators of fractional calculus. Relevant connections of some of the discussed results here with those presented in earlier references are outlined.

Date: 2021
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/MPE/2021/5535962.pdf (application/pdf)
http://downloads.hindawi.com/journals/MPE/2021/5535962.xml (text/xml)

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:hin:jnlmpe:5535962

DOI: 10.1155/2021/5535962

Access Statistics for this article

More articles in Mathematical Problems in Engineering from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().