A pair of biorthogonal polynomials for the Szegö-Hermite weight function (Q1115999)

Szegö-Hermite polynomials \(H^{\mu}_ n(x)\) are orthogonal with respect to the Szegö-Hermite weight function \(| x|^{2\mu} \exp (-x^ 2)\), \(\mu >-\). Following their own work [Indian J. Pure Appl. Math. 17, 1031-1041 (1986; Zbl 0605.33009)] the authors define a biorthogonal pair of polynomials associated with Szegö-Hermite weight function and derive certain generating functions and recurrence relations for these polynomial sets.