The generalized integral Fourier transform

Authors

  • N. O. Virchenko
  • M. O. Chetvertak

DOI:

https://doi.org/10.15407/dopovidi2015.08.007

Keywords:

confluent hypergeometric function, Fourier’ integral transform, generalized integral transform

Abstract

The generalized integral Fourier transform
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References

Kilbas A.A., Saigo M. H-transforms, London: Chapman and Hall, CRC, 2004. https://doi.org/10.1201/9780203487372

Virchenko N., Kalla S. L., Al-Zamel A. Integral Transforms and Special Functions, 2001, 12, No 1: 89–100. https://doi.org/10.1080/10652460108819336

Virchenko N. Fract. Calculus and Appl. Anal., 2006, 9, No 2: 101–108.

Wright E.M. Proc. Lond. Math. Soc., 1935, 38: 257–270. https://doi.org/10.1112/plms/s2-38.1.257

Sneddon I.N. Fourier Transforms, New York: McGraw-Hill, 1951.

Bateman H., Erdelyi A. Higher Trancendental Functions, New York: McGraw-Hill, 1953, Vol. 1.

Virchenko N.O. The generalized integral transforms, Kyiv: Zadruga, 2013 (in Ukrainan).

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Published

05.02.2025

How to Cite

Virchenko, N. O., & Chetvertak, M. O. (2025). The generalized integral Fourier transform . Reports of the National Academy of Sciences of Ukraine, (8), 7–12. https://doi.org/10.15407/dopovidi2015.08.007

Issue

No. 8 (2015): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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