𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the derivation of linkage equations for Laguerre function coefficients

✍ Scribed by M.H Diskin


Book ID
115969949
Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
259 KB
Volume
32
Category
Article
ISSN
0022-1694

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Distributional equation for Laguerre–Hah
✍ A. Branquinho; M.N. Rebocho πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 547 KB

Let u be a Hermitian linear functional defined in the linear space of Laurent polynomials and F its corresponding CarathΓ©odory function. We establish the equivalence between a Riccati differential equation with polynomial coefficients for F , zAF = BF 2 + CF + D, and a distributional equation for u,

Probabilistic derivation of some generat
✍ Poh-Aun Lee; Seng-Huat Ong; H.M. Srivastava πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 432 KB

A well-known generating function of the classical Laguerre polynomials was recently rederived probabillstically by Lee. In this paper, some other (presumably new) generating functions for the Laguerre polynomials are derived by means of probabillstic considerations. A direct (analytical) proof of ea

Laguerre-Freud equations for the recurre
✍ M. Foupouagnigni; M.N. Hounkonnou; A. Ronveaux πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 482 KB

The Laguerre-Freud equations giving the recurrence coefficients fl~, y,, of orthogonal polynomials with respect to a D,,, semi-classical linear form are derived. D,,~ is the difference operator. The limit when to --~ 0 are also investigated recovering known results. Applications to generalized Meixn