ABSTRACT
The final result, equations (8.1) and (8.2), can be evaluated for different choices of the parameters to obtain, for instance,
and
169. (2) In the paper by Gillis et al. (3) the following representation of the Legendre
polynomials is used to evaluate the integral /~ 1 P,.1 (x) · · · P,.. (x) dx, where n1, ... , RA: are non-negative integers:
(3) Bressoud (1] uses a combinatorial approach to evaluate integrals of the form
sums of elements of the {ai}, and k is an integer-valued function.
