IJPAM: Volume 85, No. 1 (2013)
CONVOLUTION IDENTITIES FOR
CENTRAL BINOMIAL NUMBERS
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
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