Unified integral associated with the generalized V-function

Advances in Difference Equations

article

Chandak, S.¹  Al-Omari, S. K. Q.²  Suthar, D. L.³ 

[1] Science and Humanities Department, L.D. College of Engineering;Department of Physics and Applied Sciences, Al-Balqa Applied University;Department of Mathematics, Wollo University

关键词: V-function;    Oberhettinger’s integral formula;    Lavoie–Trottier integral formula;   

DOI  :  10.1186/s13662-020-03019-8

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we present two new unified integral formulas involving a generalized V-function. Some interesting special cases of the main results are also considered in the form of corollaries. Due to the general nature of the V-function, several results involving different special functions such as the exponential function, the Mittag-Leffler function, the Lommel function, the Struve function, the Wright generalized Bessel function, the Bessel function and the generalized hypergeometric function are obtained by specializing the parameters in the presented formulas. More results are also discussed in detail.

【 授权许可】

CC BY