Generating functions of Legendre polynomials: a tribute to Fred Brafman

DOI10.1016/j.jat.2012.11.001zbMath1282.33015OpenAlexW1977875502MaRDI QIDQ387378

Wadim Zudilin, James G. Wan

Publication date: 23 December 2013

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2012.11.001

zbMATH Keywords

hypergeometric seriesLegendre polynomialmodular function\(\pi\)Apeéry-like sequenceBrafman's generating functionClausen's identity

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83) Numerical aspects of recurrence relations (65Q30)

Related Items (1)

A generalization of a Brafman-Bailey type identity

Cites Work

• Unnamed Item
• Eisenstein series and Ramanujan-type series for \(1 / \pi\)
• New analogues of Clausen's identities arising from the theory of modular forms
• Legendre polynomials and Ramanujan-type series for \(1/\pi\)
• Generalizations of Clausen's Formula and algebraic transformations of Calabi–Yau differential equations
• Densities of Short Uniform Random Walks
• Rational analogues of Ramanujan's series for 1/π
• GENERATING FUNCTIONS AND ASSOCIATED LEGENDRE POLYNOMIALS
• An Equivalence Theorem on Generating Functions
• Generating Functions of Jacobi and Related Polynomials

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