关于勒让德多项式的一些恒等式

Some Identities Involving the Legendre Polynomials

通过初等和组合的方法,研究了关于勒让德多项式的一类卷积和的计算问题,并给出了一些精确恒等式及同余式.

By using the elementary and combinatorial methods,the paper is to study the computational problems of one kind of convolution sums involving Legendre polynomials,and gives their exact identities and some interesting congruence relations.