Some Results Involving the Airy Functions and Airy Transforms
01. Jan. 2022
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Online veröffentlicht: 01. Jan. 2022
Seitenbereich: 13 - 32
Eingereicht: 30. Sept. 2021
DOI: https://doi.org/10.2478/tmmp-2021-0017
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© 2021 Mathematical Institute, Slovak Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
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.