Zeros of Jacobi functions of second kind

DOI10.1016/J.CAM.2005.03.055zbMath1089.33003OpenAlexW2051489632MaRDI QIDQ817467

Dimitar K. Dimitrov, Eduardo Paciência Godoy, IvÁn Area, André Ronveaux

Publication date: 16 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.03.055

zbMATH Keywords

zerosJacobi polynomialsinterlacing propertiesJacobi functions of the second kindLaguerre and Hermite functions of the second kind

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (2)

Weighted finite Fourier transform operator: uniform approximations of the eigenfunctions, eigenvalues decay and behaviour ⋮ Solving finite part singular integral equations using orthogonal polynomials

Cites Work

• The weight functions, generating functions and miscellaneous properties of the sequences of orthogonal polynomials of the second kind associated with the Jacobi and the Gegenbauer polynomials
• Hypergeometric-type differential equations: second kind solutions and related integrals.
• Interlacing properties of zeros of associated polynomials
• The asymptotics of a second solution to the jacobi differential equation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Zeros of Jacobi functions of second kind