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 The Bulletin of Irkutsk State University. Series Mathematics: Year: Volume: Issue: Page: Find

 The Bulletin of Irkutsk State University. Series Mathematics, 2011, Volume 4, Issue 4, Pages 39–44 (Mi iigum131)

Combinatorial identity from the theory of integral representations in $\mathbb{C}^{n}$

G. P. Egorychev

Siberian Federal University, Krasnoyarsk

Abstract: At the end of the 1970's, the author developed a method of coefficients, which has found successful application to work with combinatorial sums. In this article, the method of coefficients calculated the some multiple sums. Special cases of these sums were considered earlier in the theory of integral representations, the quantum physics and the wavelet theory.

Keywords: combinatorial sums; the method of coefficients; integral representation.

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Citation: G. P. Egorychev, “Combinatorial identity from the theory of integral representations in $\mathbb{C}^{n}$”, The Bulletin of Irkutsk State University. Series Mathematics, 4:4 (2011), 39–44

Citation in format AMSBIB
\Bibitem{Ego11} \by G.~P.~Egorychev \paper Combinatorial identity from the theory of integral representations in $\mathbb{C}^{n}$ \jour The Bulletin of Irkutsk State University. Series Mathematics \yr 2011 \vol 4 \issue 4 \pages 39--44 \mathnet{http://mi.mathnet.ru/iigum131} 

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• http://mi.mathnet.ru/eng/iigum/v4/i4/p39

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This publication is cited in the following articles:
1. V. P. Krivokolesko, E. K. Leinartas, “O tozhdestvakh s polinomialnymi koeffitsientami”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 5:3 (2012), 56–62
2. G. P. Egorychev, “A short calculation of the multiple sum of Krivokolesko–Leinartas with linear constraints on summation indices”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 29 (2019), 22–30
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