Séminaire Lotharingien de Combinatoire, B14Sc (1986).
Joe Gillis, J. Jedwab an Doron Zeilberger
A Combinatorial Interpretation of the Integral of the
Product of Legendre Polynomials
We obtain in an explicit manner an interpretation of the
integral of the product of k Legendre polynomials in
terms of a sum involving binomial coefficients. A further
given by means of a combinatorial model. Some special cases are
treated whose consequences lead to certain interesting new
The paper has been finally published under the same title in
SIAM J. Math. Anal. 19 (1988), 1455-1461.