The double square root, Jacobi polynomials and Ramanujan's master theorem

DOI10.1016/S0377-0427(99)00372-6zbMath1011.33005MaRDI QIDQ5937197

George Boros, Victor H. Moll

Publication date: 9 June 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

rational functionsJacobi polynomialsdouble square rootevaluation of definite integrals of rational functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Elementary functions (26A09) One-variable calculus (26A06)

Related Items (15)

A transformation of rational functions ⋮ A short proof of Moll's minimal conjecture ⋮ Ramanujan's master theorem ⋮ A simple proof of higher order Turán inequalities for Boros-Moll sequences ⋮ A pretty binomial identity ⋮ Partially 2-colored permutations and the Boros-Moll polynomials ⋮ The concavity and convexity of the Boros-Moll sequences ⋮ 2-Log-Concavity of the Boros–Moll Polynomials ⋮ On exponential convergence of nonlinear gradient dynamics system with application to square root finding ⋮ On the combinatorics of the Boros-Moll polynomials ⋮ The ratio monotonicity of the Boros-Moll polynomials ⋮ The reverse ultra log-concavity of the Boros-Moll polynomials ⋮ A formula for a quartic integral: a survey of old proofs and some new ones ⋮ A sequence of unimodal polynomials ⋮ The greatest lower bound of a Boros-Moll sequence

Cites Work

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• An Integral with Three Parameters
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