CONGRUENCES CONCERNING JACOBI POLYNOMIALS AND APÉRY-LIKE FORMULAE

DOI10.1142/S1793042112501035zbMath1261.11001arXiv1110.5308MaRDI QIDQ3166344

Roberto Tauraso, Khodabakhsh Hessami Pilehrood, Tatiana Hessami Pilehrood

Publication date: 11 October 2012

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1110.5308

zbMATH Keywords

Jacobi polynomialsEuler numberBernoulli numberCongruenceharmonic sumfinite central binomial sum

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Congruences; primitive roots; residue systems (11A07) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

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Cites Work

• On congruences related to central binomial coefficients
• More congruences for central binomial coefficients
• New congruences for central binomial coefficients
• Some new identities for \(\zeta(k)\).
• Congruences concerning Bernoulli numbers and Bernoulli polynomials
• A supercongruence conjecture of Rodriguez-Villegas for a certain truncated hypergeometric function.
• Congruences involving Bernoulli and Euler numbers
• Congruences concerning Legendre polynomials
• WOLSTENHOLME TYPE THEOREM FOR MULTIPLE HARMONIC SUMS
• A Theorem of Glaisher