Asymptotic behaviour of Jacobi polynomials and their zeros

DOI10.1090/PROC/12689zbMath1336.33024OpenAlexW1935676130MaRDI QIDQ2789853

Dimitar K. Dimitrov, Eliel J. C. dos Santos

Publication date: 2 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/12689

zbMATH Keywords

orthogonal polynomialszerosasymptotic behaviourJacobi polynomialsLaguerre polynomialslimit relation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Real polynomials: location of zeros (26C10)

Related Items (2)

Asymptotic expansions of Jacobi polynomials for large values of \(\beta\) and of their zeros ⋮ Asymptotic expansions of Jacobi polynomials and of the nodes and weights of Gauss-Jacobi quadrature for large degree and parameters in terms of elementary functions

Cites Work

• Unnamed Item
• Convexity of the extreme zeros of Gegenbauer and Laguerre polynomials
• Monotonicity of zeros of Jacobi polynomials
• Asymptotic Formulas for Ultraspherical Polynomials P (λ) n (X) and their Zeros for Large Values of λ
• Connection coefficients and zeros of orthogonal polynomials

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