Discriminants and functions of the second kind of orthogonal polynomials
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Publication:1266941
DOI10.1007/BF03322044zbMath0911.42012OpenAlexW2052431800MaRDI QIDQ1266941
Publication date: 23 April 1999
Published in: Results in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03322044
orthogonal polynomialszerosdifferential equationsrecurrence relationsdiscriminantsraising and lowering operatorsfunctions of the second kindfinite dimensional Lie algebrasnumerator polynomials
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)
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Cites Work
- Lie algebras of differential operators and Lie-algebraic potentials
- Estimates of the Hermite and the Freud polynomials
- Estimates of asymmetric Freud polynomials on the real line
- Lie theory and special functions
- Two Families of Associated Wilson Polynomials
- Explicit Formulas for the Associated Jacobi Polynomials and Some Applications
- The Associated Askey-Wilson Polynomials
- Ladder operators and differential equations for orthogonal polynomials
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