Some Results Involving the Airy Functions and Airy Transforms-Reference-Cited by-同舟云学术

Some Results Involving the Airy Functions and Airy Transforms

Published:2021-12-01 Issue:2 Volume:79 Page:13-32
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Aghili Arman¹

Affiliation:

1. Department of Applied Mathematics , Faculty of Mathematical Sciences, University of Guilan , IRAN - RASHT

Abstract

Abstract In the present work, the author studied some properties of the modified Bessel’s functions and Airy functions. It is worth mentioning that the Airy functions are used in many fields of physics. They are applied in many branches of classical and quantum physics. The author also studied certain properties of the Airy transform and derived some new integral relations involving the Airy functions. Non-trivial illustrative examples are provided as well. All the results are presented in lucid and comprehensible language.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2021-0017

Reference10 articles.

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3. [3] AGHILI, A.: Some identities for Mellin, Kontorvich-Lebedev transforms with applications, Tbil. Math. J. 14 (2021), no. (2), 239–253.

4. [4] APELBLAT, A.: Laplace Transforms and their Applications. Nova Science Publishers, Inc, New York, 2012.

5. [5] DUFY, DEAN G.: Transform Methods for Solving Partial Differential Equations. 2nd edition. Chapman and Hall/CRC, London, 2004.10.1201/9781420035148

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