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Some results involving the Airy functions and Airy transforms

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

Details:

Year, pages: 2021, 13 - 32
Language: eng
Keywords:
Airy function; Airy transform, modified Bessel functions, Riccati differential equation, Parseval-Plancherel identity
Article type: Mathematics
Document type: scientific paper
About article:
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.
How to cite:
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
About edition:
Publisher: Mathematical Institute, Slovak Academy of Sciences, Bratislava
Published: 20. 12. 2021
Rights:
https://creativecommons.org/licenses/by-nc-nd/4.0/