IJPAM: Volume 85, No. 1 (2013)

CONVOLUTION IDENTITIES FOR
CENTRAL BINOMIAL NUMBERS

Roman Wituła1, Edyta Hetmaniok2,
Damian Słota3, Natalia Gawrońska4
1,2,3,4Institute of Mathematics
Silesian University of Technology
Kaszubska 23, 44-100 Gliwice, POLAND


Abstract. Scope of this paper is the generalization of certain convolution-type identities for the central binomial numbers given by Lehmer. Some classical Lehmer's and Riordan-Stadler's formulae for these numbers in the new original expression and their application are also presented.

Received: March 13, 2013

AMS Subject Classification: 05A10, 05A19

Key Words and Phrases: central binomial numbers, convolutions

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DOI: 10.12732/ijpam.v85i1.14 How to cite this paper?
Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 85
Issue: 1