Resumen de Generating functions of orthogonal polynomials in higher dimensions

H. de Bie, Dixan Peña Peña, Frank Sommen

• 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.