Differential equations for families of semi-classical orthogonal polynomials within class one

DOI10.1016/j.apnum.2017.10.002zbMath1377.65030OpenAlexW2766945484MaRDI QIDQ1680310

M. N. Rebocho, Galina Filipuk

Publication date: 15 November 2017

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10316/44393

zbMATH Keywords

recurrence relationPainlevé equationssemi-classical orthogonal polynomialsStieltjes function

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) Computation of special functions and constants, construction of tables (65D20) Other special orthogonal polynomials and functions (33C47) Numerical approximation and evaluation of special functions (33F05) Numerical aspects of recurrence relations (65Q30)

Related Items (1)

Recurrence coefficients of Toda-type orthogonal polynomials I. Asymptotic analysis

Cites Work

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