# Integral Representation and the Computation of Combinatorial Sums. Trans. from the Russian (Translations of Mathematical Monographs) VOL 59 by G. P. Egorychev

Science & Math | Mathematics

Title:

Integral Representation and the Computation of Combinatorial Sums. Trans. from the Russian (Translations of Mathematical Monographs) VOL 59

Author:

G. P. Egorychev

ISBN:

0821845128

ISBN13:

978-0821845127

Size PDF:

1847 kb

Size epub:

1334 kb

Publisher:

American Mathematical Society (December 31, 1984)

Language:

English

Other formats:

pdf, odf, mobi, cb7, azw, lit, ibooks

Rating:

3.5

Votes:

293

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.