In:
Advances in Difference Equations, Springer Science and Business Media LLC, Vol. 2020, No. 1 ( 2020-12)
Abstract:
In this paper, we assess an integral containing incomplete H -functions and utilize it to build up an expansion formula for the incomplete H -functions including the Bessel function. Next, we evaluate an integral containing incomplete H̅ -functions and use it to develop an expansion formula for the incomplete H̅ -functions including the Bessel function. The outcomes introduced in this paper are general in nature, and several particular cases can be acquired by giving specific values to the parameters engaged with the principle results. As particular cases, we derive expansions for the incomplete Meijer ${}^{(\Gamma )}G$ G ( Γ ) -function, Fox–Wright ${}_{p}\Psi _{q}^{(\Gamma )}$ Ψ q ( Γ ) p -function, and generalized hypergeometric ${}_{p}\Gamma _{q}$ Γ q p function.
Type of Medium:
Online Resource
ISSN:
1687-1847
DOI:
10.1186/s13662-020-03022-z
Language:
English
Publisher:
Springer Science and Business Media LLC
Publication Date:
2020
detail.hit.zdb_id:
2132815-8
detail.hit.zdb_id:
3112904-3
Permalink