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Some integral identities for products of Airy functions using integral transforms

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

E-mail Address: alireza_1038@yahoo.com

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Mohammad Rasool Masomi

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

E-mail Address: masomirasool@yahoo.com

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https://doi.org/10.1142/S1793557118500468Cited by:3 (Source: Crossref)

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.

Communicated by H. M. Srivastava

Keywords:

AMSC: 33C, 44A

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