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Integral presentations of Catalan numbers
Authors:Thierry Dana-Picard
Affiliation:1. Department of Applied Mathematics , Jerusalem College of Technology , Havaad Haleumi Street 21, POB 16031, Jerusalem 91160, Israel dana@jct.ac.il
Abstract:
We compute in three different ways the same definite parametric integral. By-products are the derivation of a combinatorial identity and two integral presentations of Catalan numbers. One of them leads to a presentation using the γ function.
Keywords:Catalan numbers  integral presentation  parametric integrals
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