Some Results Involving the Airy Functions and Airy Transforms

Arman Aghili

doi:10.2478/tmmp-2021-0017

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Some Results Involving the Airy Functions and Airy Transforms

Tatra Mountains Mathematical Publications

Volume 79 (2021): Issue 2 (December 2021)

By: Arman Aghili

Open Access

|Jan 2022

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/tmmp-2021-0017 | Journal eISSN: 1338-9750 | Journal ISSN: 1210-3195

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Language: English

Page range: 13 - 32

Submitted on: Sep 30, 2021

Published on: Jan 1, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 1 issue per year

Keywords:

Airy function,

Airy transform,

modified Bessel functions,

Riccati differential equation,

Parseval-Plancherel identity

Related subjects:

Mathematics,

General mathematics

© 2022 Arman Aghili, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 79 (2021): Issue 2 (December 2021)