Method of Coefficients: an algebraic characterization and recent applications

Georgy P. Egorychev ()
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Georgy P. Egorychev: Siberian Federal University

Chapter Chapter 1 in Advances in Combinatorial Mathematics, 2009, pp 1-30 from Springer

Abstract: Abstract The article is devoted to the algebraic-logical foundations of the analytic approach to summation problems in various fields of mathematics and its applications. Here we present the foundations of the method of coefficients developed by the author in late 1970’s and its recent applications to several well-known problems.

Keywords: Integral Representation; Inference Rule; Formal Power Series; Dirichlet Series; Combinatorial Identity (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-03562-3_1

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DOI: 10.1007/978-3-642-03562-3_1

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