Approximation of the Jacobi polynomials and the Racah coefficients

DOI10.1216/RMJ-2010-40-3-849zbMath1196.41020MaRDI QIDQ983497

Uri Elias, Harry Gingold

Publication date: 23 July 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jacobi polynomialshypergeometric differential equationasymptotic approximations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

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Cites Work

• Linear turning point theory
• On a family of nonoscillatory equations \(y=\phi (x)y\)
• On the approximation of the Jacobi polynomials
• On Asymptotics of Jacobi Polynomials
• Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions
• General connection formulae for Liouville-Green approximations in the complex plane
• Three routes to the exact asymptotics for the one-dimensional quantum walk
• Small Eigenvalues of Large Hankel Matrices
• On Some Hermitian Forms Associated with Two Given Curves of the Complex Plane
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