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Note on the convolution of binomial coefficients

Title
Note on the convolution of binomial coefficients
Type
Article in International Scientific Journal
Year
2013
Authors
Duarte, R
(Author)
Other
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de Oliveira, AG
(Author)
FCUP
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Journal
Vol. 16
ISSN: 1530-7638
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Publicação em ISI Web of Knowledge ISI Web of Knowledge
Publicação em Scopus Scopus - 0 Citations
Other information
Authenticus ID: P-008-D7Z
Abstract (EN): We prove that, for every integer a, real numbers k and ¿, and nonnegative integers n, i and j, by presenting explicit expressions for its value. We use the identity to generalize a recent result of Chang and Xu, and end the paper by presenting, in explicit form, the ordinary generating function of the sequence where k ¿ ¿.
Language: English
Type (Professor's evaluation): Scientific
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