Vyacheslav P. Krivokolesko, “Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities”, J. Sib. Fed. Univ. Math. Phys., 2:2 (2009), 176

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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 2, Pages 176–188 (Mi jsfu63)

This article is cited in 7 scientific papers (total in 7 papers)

Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities

Vyacheslav P. Krivokolesko

Siberian State Technological University, Krasnoyarsk, Russia

Full-text PDF (207 kB) Citations (7)

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Abstract: An integral representation for functions that are holomorphic in a linearly convex polyhedr was considered in detail in the case of an

$n$ -circular polyhedron.
We obtain some combinatorial identities involving metric parameters of this polyhedron.

Keywords: integral representation, residues, combinatorial identities.

Received: 18.02.2009
Received in revised form: 11.04.2009
Accepted: 30.04.2009

UDC: 517.55+519.1

Language: Russian

Citation: Vyacheslav P. Krivokolesko, “Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities”, J. Sib. Fed. Univ. Math. Phys., 2:2 (2009), 176–188

Citation in format AMSBIB

\Bibitem{Kri09}

\by Vyacheslav~P.~Krivokolesko

\paper Integral Representations for Linearly Convex Polyhedra and Some Combinatorial Identities

\jour J. Sib. Fed. Univ. Math. Phys.

\yr 2009

\vol 2

\issue 2

\pages 176--188

\mathnet{http://mi.mathnet.ru/jsfu63}

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https://www.mathnet.ru/eng/jsfu63

https://www.mathnet.ru/eng/jsfu/v2/i2/p176

This publication is cited in the following 7 articles:

E. A. Karatsuba, “On an Identity with Binomial Coefficients”, Math. Notes, 105:1 (2019), 145–147
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
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
Viacheslav P. Krivokolesko, “Method for obtaining combinatorial identities with polynomial coefficients by means of integral representations”, Zhurn. SFU. Ser. Matem. i fiz., 9:2 (2016), 192–201
Davletshin M.N., Egorychev G.P., Krivokolesko V.P., “Calculation of multiple combinatorial sums in the theory of holomorphic functions in C-n”, Adv in Appl Math, 48:2 (2012), 446–456
V. P. Krivokolesko, E. K. Leinartas, “O tozhdestvakh s polinomialnymi koeffitsientami”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 5:3 (2012), 56–62
G. P. Egorychev, “Kombinatornoe tozhdestvo iz teorii integralnykh predstavlenii v $\mathbb{C}^{n}$ ”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 4:4 (2011), 39–44

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Журнал Сибирского федерального университета. Серия "Математика и физика"

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