Moments on Catalan numbers |
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| Authors: | Xiaojing Chen |
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| Affiliation: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | ![]()
By combining inverse series relations with binomial convolutions and telescoping method, moments of Catalan numbers are evaluated, which resolves a problem recently proposed by Gutiérrez et al. [J.M. Gutiérrez, M.A. Hernández, P.J. Miana, N. Romero, New identities in the Catalan triangle, J. Math. Anal. Appl. 341 (1) (2008) 52-61]. |
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| Keywords: | Catalan numbers Telescoping method Chu-Vandermonde convolution |
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