A GENERATING FUNCTION OF THE SQUARES OF LEGENDRE POLYNOMIALS
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Publication:5406100
DOI10.1017/S0004972713000233zbMath1334.33022arXiv1210.2493MaRDI QIDQ5406100
Publication date: 1 April 2014
Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.2493
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11) Generalized hypergeometric series, ({}_pF_q) (33C20) Evaluation of number-theoretic constants (11Y60)
Related Items (5)
New series for powers of \(\pi\) and related congruences ⋮ Equilibration properties of small quantum systems: further examples ⋮ A modular supercongruence for _6F_5: An Apéry-like story ⋮ Short Walk Adventures ⋮ Ramanujan-type \(1/\pi\)-series from bimodular forms
Cites Work
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- New analogues of Clausen's identities arising from the theory of modular forms
- Generating functions of Legendre polynomials: A tribute to Fred Brafman
- Sporadic sequences, modular forms and new series for \(1/\pi\)
- Eisenstein series and theta functions to the septic base
- Rational analogues of Ramanujan's series for 1/π
- NEW REPRESENTATIONS FOR APÉRY‐LIKE SEQUENCES
- The Generating Function of Jacobi Polynomials
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