Certain Finite Integrals Related to the Products of Special Functions
Dinesh Kumar,
Frédéric Ayant,
Suphawat Asawasamrit,
Jessada Tariboon
Affiliations
Dinesh Kumar
Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University Jodhpur, Jodhpur 342304, India
Frédéric Ayant
Collége Jean L’herminier, Allée des Nymphéas, 83500 La Seyne-sur-Mer, France
Suphawat Asawasamrit
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
Jessada Tariboon
Intelligent and Nonlinear Dynamic Innovations Research Center, Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand
The aim of this paper is to establish a theorem associated with the product of the Aleph-function, the multivariable Aleph-function, and the general class of polynomials. The results of this theorem are unified in nature and provide a very large number of analogous results (new or known) involving simpler special functions and polynomials (of one or several variables) as special cases. The derived results lead to significant applications in physics and engineering sciences.
