  Li et al. give an integral formula for the Catalan-Qi number of the second
kind. They show that this integral can be written as a summation with double
factorials. In this paper the integral is reduced to a product of the Catalan
number and a hypergeometric function. This hypergeometric function can be
written as an associated Legendre polynomial of the first kind. There are also
connections with the incomplete Beta function and the Gegenbauer polynomials.
In the last section a related integral is calculated.
