Umbral orthogonal polynomials

Journal Article · Thu Dec 23 00:00:00 EST 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3537865· OSTI ID:21511349

Lopez-Sendino, J E; del Olmo, M A ^[1]

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1. Departamento de Fisica Teorica, Universidad de Valladolid, E-47005, Valladolid (Spain)

We present an umbral operator version of the classical orthogonal polynomials. We obtain three families which are the umbral counterpart of the Jacobi, Laguerre and Hermite polynomials in the classical case.

• OSTI ID: 21511349
• Journal Information: AIP Conference Proceedings, Vol. 1323, Issue 1; Conference: Symposium on symmetries in nature in memoriam Marcos Moshinsky, Cuernavaca (Mexico), 7-14 Aug 2010; Other Information: DOI: 10.1063/1.3537865; (c) 2010 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
HARMONIC OSCILLATORS
HERMITE POLYNOMIALS
MATHEMATICAL OPERATORS
ORTHOGONAL TRANSFORMATIONS
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
PARTIAL DIFFERENTIAL EQUATIONS
POLYNOMIALS
TRANSFORMATIONS
WAVE EQUATIONS