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Further identities on Catalan numbers
Authors:Wenchang Chu
Affiliation:School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou (Henan), PR China;Dipartimento di Matematica e Fisica, Università del Salento, Lecce, Italy
Abstract:
Three summation formulae on the λ-extended Catalan numbers are established by means of hypergeometric series approach with one of them being provided a combinatorial proof through lattice path countings.
Keywords:Catalan numbers  Lattice path counting  Reflection principle
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