Polynomial solutions to second order linear homogeneous ordinary differential equations. Properties and approximation

DOI10.1007/BF02575727zbMath0787.34018MaRDI QIDQ1813334

Lionello Pasquini

Publication date: 25 June 1992

Published in: Calcolo (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenesszerospolynomial solutionsNewton's iterationHermite or Laguerre polynomialssecond order homogeneous linear differential equation with polynomial coefficients

Mathematics Subject Classification ID

Theoretical approximation of solutions to ordinary differential equations (34A45) Linear ordinary differential equations and systems (34A30) Approximation by polynomials (41A10) Appell, Horn and Lauricella functions (33C65) Numerical methods for ordinary differential equations (65L99)

Related Items (2)

Calcolo degli autovalori di matrici tridiagonali non normali ⋮ Polynomial solutions for a class of second-order linear differential equations

Cites Work

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• A characterization of the Lagrange interpolating projection with minimal Tchebycheff norm
• A practical guide to splines
• Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation
• On the Lebesgue Function for Polynomial Interpolation

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