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Some Results Involving the Airy Functions and Airy Transforms Cover

Some Results Involving the Airy Functions and Airy Transforms

By: Arman Aghili  
Open Access
|Jan 2022

References

  1. [1] AGHILI, A.: Special functions, integral transforms with applications, Tbil. Math. J. 12 (2019), no. 1 33–44.
  2. [2] AGHILI, A.: Space-fractional transport equation, Konuralp J. Math., 8 (2020), no. (2), 304–312.
  3. [3] AGHILI, A.: Some identities for Mellin, Kontorvich-Lebedev transforms with applications, Tbil. Math. J. 14 (2021), no. (2), 239–253.
  4. [4] APELBLAT, A.: Laplace Transforms and their Applications. Nova Science Publishers, Inc, New York, 2012.
  5. [5] DUFY, DEAN G.: Transform Methods for Solving Partial Differential Equations. 2nd edition. Chapman and Hall/CRC, London, 2004.10.1201/9781420035148
  6. [6] GRADSHTEYN, I. S.—RYZHIK, I.M.: Table of Integrals, Series and Products. 7th edition. Translated from the Russian. Translation edited and with a preface by Alan Jeffrey and Daniel Zwillinger. Elsevier/Academic Press, Amsterdam, 2007.
  7. [7] GRAMTCHEFF, T. V.: An application of Airy functions to the Tricomi problem, Math. Nachr. 102 (1981), 169–181.10.1002/mana.19811020114
  8. [8] LEBEDEV, N.N.: Special Functions and their Applications. Revised edition, Prentice- Hall, Inc., Englewood Cliffs, N. J. 1965.
  9. [9] VALLEE, O.—SOARES, M. : Airy Functions and Applications to Physics. 2nd edition. Imperial College Press, London, 2010.10.1142/p709
  10. [10] VALLEE, O.: Some integrals involving Airy functions and Volterra mu-function, Integral Transforms Spec. Funct. 13 (2002), no. 5, 403–408.
DOI: https://doi.org/10.2478/tmmp-2021-0017 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
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: 3 issues per year

© 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.