Biorthogonal polynomials suggested by the Hermite polynomials
By making use of the classical relations that exist between the odd and even degree Laguerre polynomials and the corresponding Hermite polynomials, and the explicit representations for the \textit{J. D. E. Konhauser}'s [J. Math. Anal. Appl. 11, 242-260 (1965; Zbl 0125.315)] biorthogonal pair of polynomials related with Laguerre polynomials, the authors introduce here the biorthogonal pair of polynomials suggested by Hermite polynomials, and obtain certain generating and recurrence relations for them by particularizing the corresponding known relations for Konhauser's pair of polynomials.
scientific article; zbMATH DE number 3977425