Some integral identities for products of Airy functions using integral transforms-Reference-Cited by-同舟云学术

Some integral identities for products of Airy functions using integral transforms

Published:2018-05-03 Issue:03 Volume:11 Page:1850046
ISSN:1793-5571
Container-title:Asian-European Journal of Mathematics
language:en
Short-container-title:Asian-European J. Math.

Author:

Ansari Alireza¹,Masomi Mohammad Rasool²

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematical Sciences, Shahrekord University, P.O. Box 115, Shahrekord, Iran

2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O. Box 1841, Rasht, Iran

Abstract

In this paper, using the integral identities of Bessel functions, we obtain new integral identities for the products of Airy functions. We get various integrals involving the Widder potential, the Fourier sine and cosine transforms of the products of Airy functions in terms of some special functions.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793557118500468

Reference27 articles.

1. Some results involving integral transforms of Airy functions

2. Handbook of Special Functions

3. Some Parseval–Goldstein type identities involving the -transform, the -transform and the -transform and their applications

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