PHYSICAL-MATHEMATICAL SCIENCES

Hankel integral transform of Mittag-Leffler type function

F. G. Khushtova

Institute of Applied Mathematics and Automation – branch of the FSBSE "Federal Scientific Center "Kabardin-Balkar Scientific Center of the Russian Academy of Sciences", 360000, KBR, Nalchik, Shortanov street, 89 A

Abstract: The paper considers the Hankel integral transform of the Mittag-Leffler type function with a power factor. The result of the transformation is found in terms of the special Fox function. It is shown that in some special cases the formulas obtained coincide with the known tabular formulas.

Keywords: Hankel integral transform, Mittag-Leffler type function, Bessel function, Fox function, degenerate hypergeometric function.

UDC: 517.44, 517.58

Received: 04.12.2019

DOI: 10.35330/1991-6639-2019-6-92-102-106

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