Asymptotic approximations of Jacobi functions and their zeros with error bounds

DOI10.1007/s10114-005-0593-6zbMath1107.33009OpenAlexW2350030197MaRDI QIDQ2508595

Xiuchun Li, Xiaofeng Zhu

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0593-6

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)

Related Items (1)

Asymptotic expansions of zeros for Krawtchouk polynomials with error bounds

Cites Work

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• Szegö's conjecture on Lebesgue constants for Legendre series
• A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
• On the Asymptotics of the Jacobi Function and Its Zeros
• On the Relative Extrema of the Jacobi Polynomials $P_n^{(0, - 1)} (x)$
• A Uniform Expansion for the Eigenfunction of a Singular Second-Order Differential Operator
• Error Bounds for Asymptotic Approximations of Zeros of Transcendental Functions
• Some Transplantation Theorems for the Generalized Mehler Transform and Related Asymptotic Expansions

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