Structure relations for orthogonal polynomials

• Autores: Mourad E. H. Ismail
• Localización: Pacific journal of mathematics, ISSN 0030-8730, Vol. 240, Nº 2, 2009, págs. 309-319
• Idioma: inglés
• DOI: 10.2140/pjm.2009.240.309
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• Resumen

  • We show how to derive structure relations for general orthogonal polynomials, that is, we find operators whose action on pn is a combination of pn and pn+1 with variable coeficients. We also provide an analogue of the string equation for general orthogonal polynomials. We explore the connection with Toda lattice and polynomials orthogonal with respect to general exponential weights.