Matches in SemOpenAlex for { <https://semopenalex.org/work/W2026614141> ?p ?o ?g. }
- W2026614141 endingPage "237" @default.
- W2026614141 startingPage "215" @default.
- W2026614141 abstract "Recurrence coefficients of semi-classical orthogonal polynomials (orthogonal polynomials related to a weight function w such that w′w is a rational function) are shown to be solutions of nonlinear differential equations with respect to a well-chosen parameter, according to principles established by D. Chudnovsky and G. Chudnovsky. Examples are given. For instance, the recurrence coefficients in an + 1Pn + 1 (x) = xpn(x) − anpn − 1 (x) of the orthogonal polynomials related to the weight exp (− x44 − tx2) on R satisfy 4an3än = (3an4 + 2tan2 − n)(an4 + 2tan2 + n), and an2 satisfies a Painlevé PIV equation." @default.
- W2026614141 created "2016-06-24" @default.
- W2026614141 creator A5070485116 @default.
- W2026614141 date "1995-02-01" @default.
- W2026614141 modified "2023-10-03" @default.
- W2026614141 title "Painlevé-type differential equations for the recurrence coefficients of semi-classical orthogonal polynomials" @default.
- W2026614141 cites W126109759 @default.
- W2026614141 cites W1590857171 @default.
- W2026614141 cites W1967427183 @default.
- W2026614141 cites W1967587794 @default.
- W2026614141 cites W1969956567 @default.
- W2026614141 cites W1970766718 @default.
- W2026614141 cites W1971310619 @default.
- W2026614141 cites W1976011734 @default.
- W2026614141 cites W1976703126 @default.
- W2026614141 cites W1977301955 @default.
- W2026614141 cites W1991801042 @default.
- W2026614141 cites W1992421879 @default.
- W2026614141 cites W1998777538 @default.
- W2026614141 cites W2004276429 @default.
- W2026614141 cites W2011443695 @default.
- W2026614141 cites W2012881606 @default.
- W2026614141 cites W2018146921 @default.
- W2026614141 cites W2023947160 @default.
- W2026614141 cites W2024472793 @default.
- W2026614141 cites W2038376377 @default.
- W2026614141 cites W2043301878 @default.
- W2026614141 cites W2046683826 @default.
- W2026614141 cites W2049911308 @default.
- W2026614141 cites W2050644245 @default.
- W2026614141 cites W2051855152 @default.
- W2026614141 cites W2068698877 @default.
- W2026614141 cites W2072869714 @default.
- W2026614141 cites W2074030540 @default.
- W2026614141 cites W2077030884 @default.
- W2026614141 cites W2079891462 @default.
- W2026614141 cites W2080376397 @default.
- W2026614141 cites W2080787380 @default.
- W2026614141 cites W2084699230 @default.
- W2026614141 cites W2088680200 @default.
- W2026614141 cites W2089519635 @default.
- W2026614141 cites W2092759392 @default.
- W2026614141 cites W2095287369 @default.
- W2026614141 cites W2116528671 @default.
- W2026614141 cites W2165702283 @default.
- W2026614141 cites W2998014864 @default.
- W2026614141 doi "https://doi.org/10.1016/0377-0427(93)e0247-j" @default.
- W2026614141 hasPublicationYear "1995" @default.
- W2026614141 type Work @default.
- W2026614141 sameAs 2026614141 @default.
- W2026614141 citedByCount "163" @default.
- W2026614141 countsByYear W20266141412012 @default.
- W2026614141 countsByYear W20266141412013 @default.
- W2026614141 countsByYear W20266141412014 @default.
- W2026614141 countsByYear W20266141412015 @default.
- W2026614141 countsByYear W20266141412016 @default.
- W2026614141 countsByYear W20266141412017 @default.
- W2026614141 countsByYear W20266141412018 @default.
- W2026614141 countsByYear W20266141412019 @default.
- W2026614141 countsByYear W20266141412020 @default.
- W2026614141 countsByYear W20266141412021 @default.
- W2026614141 countsByYear W20266141412022 @default.
- W2026614141 countsByYear W20266141412023 @default.
- W2026614141 crossrefType "journal-article" @default.
- W2026614141 hasAuthorship W2026614141A5070485116 @default.
- W2026614141 hasBestOaLocation W20266141411 @default.
- W2026614141 hasConcept C10628310 @default.
- W2026614141 hasConcept C121332964 @default.
- W2026614141 hasConcept C134306372 @default.
- W2026614141 hasConcept C134466208 @default.
- W2026614141 hasConcept C14036430 @default.
- W2026614141 hasConcept C158622935 @default.
- W2026614141 hasConcept C18903297 @default.
- W2026614141 hasConcept C201292218 @default.
- W2026614141 hasConcept C202444582 @default.
- W2026614141 hasConcept C21736991 @default.
- W2026614141 hasConcept C2777299769 @default.
- W2026614141 hasConcept C33923547 @default.
- W2026614141 hasConcept C48490523 @default.
- W2026614141 hasConcept C62520636 @default.
- W2026614141 hasConcept C78045399 @default.
- W2026614141 hasConcept C78458016 @default.
- W2026614141 hasConcept C86803240 @default.
- W2026614141 hasConceptScore W2026614141C10628310 @default.
- W2026614141 hasConceptScore W2026614141C121332964 @default.
- W2026614141 hasConceptScore W2026614141C134306372 @default.
- W2026614141 hasConceptScore W2026614141C134466208 @default.
- W2026614141 hasConceptScore W2026614141C14036430 @default.
- W2026614141 hasConceptScore W2026614141C158622935 @default.
- W2026614141 hasConceptScore W2026614141C18903297 @default.
- W2026614141 hasConceptScore W2026614141C201292218 @default.
- W2026614141 hasConceptScore W2026614141C202444582 @default.
- W2026614141 hasConceptScore W2026614141C21736991 @default.
- W2026614141 hasConceptScore W2026614141C2777299769 @default.
- W2026614141 hasConceptScore W2026614141C33923547 @default.
- W2026614141 hasConceptScore W2026614141C48490523 @default.
- W2026614141 hasConceptScore W2026614141C62520636 @default.
- W2026614141 hasConceptScore W2026614141C78045399 @default.