Orthogonal polynomial expansions via Fourier transform

Philip Feinsilver , René Schott (1)

1 INRIA Lorraine

Using techniques of operational calculus we present methods for computing the generalized Fourier coefficients for certain families of orthogonal polynomials, specifically Meixner classes of polynomials. In particular, Krawtchouk transforms are considered.

Domaines: Autre [cs.OH]

Philip Feinsilver, René Schott. Orthogonal polynomial expansions via Fourier transform. [Research Report] RR-1745, INRIA. 1992. ⟨inria-00076985⟩