<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

Some Results Involving the Airy Functions and Airy Transforms

Faculty of Mathematical Sciences, University of Guilan

Tatra Mountains Mathematical Publications

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

{"article-title":"Some Results Involving the Airy Functions and Airy Transforms"}

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...

Some Results Involving the Airy Functions and Airy Transforms

Published Online: Jan 01, 2022

Page range: 13 - 32

Received: Sep 30, 2021

DOI: https://doi.org/10.2478/tmmp-2021-0017

Keywords
Airy function, Airy transform, modified Bessel functions, Riccati differential equation, Parseval-Plancherel identity

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some Results Involving the Airy Functions and Airy Transforms

Published Online: Jan 01, 2022

Page range: 13 - 32

Received: Sep 30, 2021

DOI: https://doi.org/10.2478/tmmp-2021-0017

KeywordsAiry function, Airy transform, modified Bessel functions, Riccati differential equation, Parseval-Plancherel identity

© 2021 Mathematical Institute, Slovak Academy of Sciences

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Airy function, Airy transform, modified Bessel functions, Riccati differential equation, Parseval-Plancherel identity