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Operator Hypergeometric Functions

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Abstract

We consider operator hypergeometric functions 1F2(∙) and 2F3(∙) constructed by an unbounded operator. Using these functions, we solve Cauchy problems for singular integro-differential equations. A new pair of similar operators is given.

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Authors and Affiliations

  1. Belgorod State National Research University, Belgorod, Russia

    A. V. Glushak

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  1. A. V. Glushak
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Correspondence to A. V. Glushak.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 174, Geometry and Mechanics, 2020.

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Glushak, A.V. Operator Hypergeometric Functions. J Math Sci 272, 658–666 (2023). https://doi.org/10.1007/s10958-023-06462-6

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  • DOI: https://doi.org/10.1007/s10958-023-06462-6

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