Jacobi polynomials and congruences involving some higher-order Catalan numbers and binomial coefficients

zbMath1364.11051arXiv1504.07944MaRDI QIDQ3465220

Tatiana Hessami Pilehrood, Khodabakhsh Hessami Pilehrood

Publication date: 21 January 2016

Full work available at URL: https://arxiv.org/abs/1504.07944

zbMATH Keywords

generating functionJacobi polynomialcubic residuepolynomial congruencehigher-order Catalan number

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Congruences; primitive roots; residue systems (11A07) Power residues, reciprocity (11A15)

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