Identities involving rational sums by inversion and partial fraction decomposition | Zendy

Helmut Prodinger | Zendy

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Identities involving rational sums by inversion and partial fraction decomposition

Author(s) -

Helmut Prodinger

Publication year - 2008

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm0801065p

Subject(s) - mathematics , partial fraction decomposition , binomial coefficient , conjecture , fraction (chemistry) , inversion (geology) , pure mathematics , binomial theorem , identity (music) , decomposition , combinatorics , binomial (polynomial) , discrete mathematics , rational function , statistics , paleontology , ecology , chemistry , physics , organic chemistry , structural basin , acoustics , biology

Identities appearing recently in: J. L. Diaz-Barrero, J. Gibergans-Baguena P. G. Popescu: Some identities involving rational sums. Appl. Anal. Discrete Math., 1 (2007), 397-402, are treated by inverting them; the resulting sums are evaluated using partial fraction decomposition, following Wenchang Chu: A binomial coefficient identity associated with Beukers’ conjecture on Apery numbers. Electron. J. Combin., 11 (1): Note 15, 3 pp. (electronic), 2004. This approach produces a general formula, not only special cases.

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