Application of the Liouville-Steklov method to estimation of error of a Hilb type formula for Jacobi polynomials

DOI10.1007/S10958-013-1445-ZzbMath1279.33020OpenAlexW1966805741MaRDI QIDQ376509

O. L. Vinogradov

Publication date: 5 November 2013

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1445-z

zbMATH Keywords

error estimationJacobi polynomialsLiouville-Steklov method

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (1)

Explicit error estimate for a Darboux type formula with Jacobi polynomials

Uses Software

• DLMF
• BIJ

Cites Work

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• Sharp bounds for the extreme zeros of classical orthogonal polynomials
• How sharp is Bernstein's inequality for Jacobi polynomials?
• Luigi Gatteschi's work on asymptotics of special functions and their zeros
• On the Bernstein-type inequalities for ultraspherical polynomials
• A uniform asymptotic expansion for Jacobi polynomials via uniform treatment of Darboux's method
• A Uniform Asymptotic Expansion of the Jacobi Polynomials with Error Bounds
• Generalized Jacobi Weights, Christoffel Functions, and Jacobi Polynomials
• A Bernstein-Type Inequality for the Jacobi Polynomial
• ESTIMATES FOR THE ERROR TERM IN A UNIFORM ASYMPTOTIC EXPANSION OF THE JACOBI POLYNOMIALS

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