Integral Representation and the Computation of Combinatorial Sums

Integral Representation and the Computation of Combinatorial Sums This monograph should be of interest to a broad spectrum of readers: specialists in discrete and continuous mathematics, physicists, engineers, and others interested in computing sums and applying complex analysis in discrete mathematics. It contains investigations on the problem of finding integral representations for and computing finite and infinite sums (generating functions); these arise in practice in combinatorial analysis, the theory of algorithms and programming on a computer, probability theory, group theory, and function theory, as well as in physics and other areas of knowledge. A general approach is presented for computing sums and other expressions in closed form by reducing them to one-dimensional and multiple integrals, most often to contour integrals.

Authors: Egorychev G.P.Pages: 288     Year: 1984

Tags: computation integral combinatorial representation

Customers who bought this item also bought:


© 2007–2019 Dleex.

English      German      French      Russian

For any question please write to our email e-mail