Some results involving the Airy functions and Airy transforms

In: Tatra Mountains Mathematical Publications, vol. 79, no. 2

Arman Aghili

Detaily:

Rok, strany: 2021, 13 - 32

Jazyk: eng

Kľúčové slová:

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

Typ článku: Mathematics

Typ dokumentu: scientific paper

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

Full text

O článku:

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.

Ako citovať:

ISO 690:

Aghili, A. 2021. Some results involving the Airy functions and Airy transforms. In Tatra Mountains Mathematical Publications, vol. 79, no.2, pp. 13-32. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0017

APA:

Aghili, A. (2021). Some results involving the Airy functions and Airy transforms. Tatra Mountains Mathematical Publications, 79(2), 13-32. 1210-3195. DOI: https://doi.org/10.2478/tmmp-2021-0017

O vydaní:

Vydavateľ: Mathematical Institute, Slovak Academy of Sciences, Bratislava

Publikované: 20. 12. 2021

Verejná licencia:

https://creativecommons.org/licenses/by-nc-nd/4.0/