Generating functions of orthogonal polynomials in higher dimensions

• Autores: H. de Bie, Dixan Peña Peña, Frank Sommen
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 178, Nº 1, 2014, págs. 30-40
• Idioma: inglés
• DOI: 10.1016/j.jat.2013.11.003
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• Resumen

  • In this paper two important classes of orthogonal polynomials in higher dimensions using the framework of Clifford analysis are considered, namely the Clifford�Hermite and the Clifford�Gegenbauer polynomials.

    For both classes an explicit generating function is obtained.