Thakare, N. K.; Madhekar, M. C. A pair of biorthogonal polynomials for the Szegö-Hermite weight function. (English) Zbl 0665.33007 Int. J. Math. Math. Sci. 11, No. 4, 763-768 (1988). 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. Reviewer: J.P.Singhal Cited in 1 Document MSC: 33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) Keywords:Szegö-Hermite polynomials; Szegö-Hermite weight function; biorthogonal pair of polynomials Citations:Zbl 0605.33009 PDFBibTeX XMLCite \textit{N. K. Thakare} and \textit{M. C. Madhekar}, Int. J. Math. Math. Sci. 11, No. 4, 763--768 (1988; Zbl 0665.33007) Full Text: DOI EuDML