Classical multiple orthogonal polynomials of Angelesco system

• Autores: D.W. Lee
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 12, 2010, págs. 1342-1351
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.05.004
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• Resumen

  • In this paper, we analyze more carefully the Rodrigues formula of classical multiple orthogonal polynomials of Angelesco system and consider the sequence of them for the diagonal index case, and then find many properties of such a sequence of orthogonal polynomials. More precisely, we consider the diagonal index sequence View the MathML source of classical multiple orthogonal polynomials View the MathML source of Angelesco system. For such a sequence we give recurrence relations, differential-difference equations, and then we finally find a third order differential equation having View the MathML source as solutions.