V. I. Kuzovatov, A. M. Kytmanov, “On one integral representation of Binet type”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 741

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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages 741–754
DOI: https://doi.org/10.33048/semi.2024.21.050 (Mi semr1713)

Real, complex and functional analysis

On one integral representation of Binet type

V. I. Kuzovatov, A. M. Kytmanov

Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia

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DOI: https://doi.org/10.33048/semi.2024.21.050

Abstract: In the present work, we obtain a generalization of the classical Binet formula. It is used to find a functional relationship for the Riemann zeta-function. We obtain the mentioned generalization by means of the Plan formula.

Keywords: Binet formula, integral representation, entire function.

Funding agency	Grant number
Russian Science Foundation	24-21-00023

Received April 13, 2024, published October 21, 2024

Document Type: Article

UDC: 517.5

MSC: 14G10, 30D10

Language: Russian

Citation: V. I. Kuzovatov, A. M. Kytmanov, “On one integral representation of Binet type”, Sib. Èlektron. Mat. Izv., 21:2 (2024), 741–754

Citation in format AMSBIB

\Bibitem{KuzKyt24}

\by V.~I.~Kuzovatov, A.~M.~Kytmanov

\paper On one integral representation of Binet type

\jour Sib. \`Elektron. Mat. Izv.

\yr 2024

\vol 21

\issue 2

\pages 741--754

\mathnet{http://mi.mathnet.ru/semr1713}

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https://www.mathnet.ru/eng/semr/v21/i2/p741

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