Jacobi Polynomials and Congruences Involving Some Higher-Order Catalan Numbers and Binomial Coefficients
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چکیده
In this paper, we study congruences on sums of products of binomial coefficients that can be proved by using properties of the Jacobi polynomials. We give special attention to polynomial congruences containing Catalan numbers, second-order Catalan numbers, the sequence Sn = ( 3n)( 3n 2n) 2( n )(2n+1) , and the binomial coefficients ( 3n n )
منابع مشابه
Se p 20 09 Preprint , arXiv : 0909 . 3808 VARIOUS CONGRUENCES INVOLVING BINOMIAL COEFFICIENTS AND HIGHER - ORDER CATALAN NUMBERS
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تاریخ انتشار 2015