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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2024, Volume 21, Issue 2, Pages 741–754
DOI: https://doi.org/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/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}
\crossref{https://doi.org/doi.org/10.33048/semi.2024.21.050}
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