Über Differentialgleichungen für Orthogonalpolynome

DOI10.1007/BF01547798zbMath0507.33004MaRDI QIDQ1837311

Wolfgang Hahn

Publication date: 1983

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178127

zbMATH Keywords

orthogonal polynomials satisfying differential equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (11)

Eigenproblems for tridiagonal 2-Toeplitz matrices and quadratic polynomial mappings ⋮ On solutions of holonomic divided-difference equations on nonuniform lattices ⋮ On polynomial transformations preserving purely imaginary zeros* ⋮ Laguerre–Hahn orthogonal polynomials on the real line ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ From Standard Orthogonal Polynomials to Sobolev Orthogonal Polynomials: The Role of Semiclassical Linear Functionals ⋮ On the assignment of a Dirac-mass for a regular and semi-classical form ⋮ On differential equations for orthogonal polynomials on the unit circle ⋮ Discrete semi-classical orthogonal polynominals ⋮ Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\) ⋮ Some perturbed sequences of order one of the Chebyshev polynomials of second kind

Cites Work

• A differential equation for orthogonal polynomials
• Elliptic orthogonal polynomials
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