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 |
|
|