Тип публикации: статья из журнала
Год издания: 2012
Идентификатор DOI: 10.1016/j.aam.2011.09.006
Ключевые слова: Combinatorial sums, Integral representation, Generating functions, Holomorphic functions, Special forms, Functions, Theorem proving
Аннотация: At the end of the 1970's, G.P. Egorychev developed a method of coefficients, which found successful applications for work with combinatorial sums. In this article, with the method of coefficients two identities were proved. One of the identities was proved in 2008, using the integral representation of holomorphic functions in domaiПоказать полностьюns of special form. Theorem 2 was proved with application of the coefficients method, it is a generalization of the results of Shelkovick and Zeilberger in the case of z(1) + ... + z(n) = 1. (C) 2011 Elsevier Inc. All rights reserved.
Журнал: ADVANCES IN APPLIED MATHEMATICS
Выпуск журнала: Vol. 48, Is. 2
Номера страниц: 446-456
ISSN журнала: 01968858
Место издания: SAN DIEGO
Издатель: ACADEMIC PRESS INC ELSEVIER SCIENCE