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 J. Sib. Fed. Univ. Math. Phys., 2016, Volume 9, Issue 2, Pages 192–201 (Mi jsfu476)

Method for obtaining combinatorial identities with polynomial coefficients by means of integral representations

Viacheslav P. Krivokolesko

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: We propose a method how to derive combinatorial identities with polynomial coefficients by means of an integral representation of holomorphic functions in an $n$-circular linearly convex polyhedron.

Keywords: combinatorial identities, polynomial coefficients, integral representation.

 Funding Agency Grant Number Ministry of Education and Science of the Russian Federation 14.Y26.31.0006 The work was supported by the grant of the Russian Federation Goverment for research under the supervision of leading scientist at the Siberian Federal Univesity, contract 14.Y26.31.0006.

DOI: https://doi.org/10.17516/1997-1397-2016-9-2-192-201

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UDC: 517.55+519.1
Accepted: 12.02.2016
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Citation: Viacheslav P. Krivokolesko, “Method for obtaining combinatorial identities with polynomial coefficients by means of integral representations”, J. Sib. Fed. Univ. Math. Phys., 9:2 (2016), 192–201

Citation in format AMSBIB
\Bibitem{Kri16} \by Viacheslav~P.~Krivokolesko \paper Method for obtaining combinatorial identities with polynomial coefficients by means of integral representations \jour J. Sib. Fed. Univ. Math. Phys. \yr 2016 \vol 9 \issue 2 \pages 192--201 \mathnet{http://mi.mathnet.ru/jsfu476} \crossref{https://doi.org/10.17516/1997-1397-2016-9-2-192-201} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000412008200008} 

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This publication is cited in the following articles:
1. Georgy P. Egorychev, Viachelsav P. Krivokolesko, “Computation of an integral of a rational function over the skeleton of unit polycylinder in $\mathbb C^{n}$ by means of the Mellin transform”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 364–369
2. V. P. Krivokolesko, “O vychislenii odnogo klassa integralov ot ratsionalnykh funktsii s parametrami i osobennostyami na kompleksnykh giperploskostyakh”, Tr. IMM UrO RAN, 24, no. 2, 2018, 123–140
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