𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A new class of three-variable orthogonal polynomials and their recurrences relations

✍ Scribed by JiaChang Sun

Book ID
107347684
Publisher
SP Science China Press
Year
2008
Tongue
English
Weight
335 KB
Volume
51
Category
Article
ISSN
1674-7283

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Recurrence relations for the connection
Recurrence relations for the connection coefficients of orthogonal polynomials of a discrete variable
✍ Stanislaw Lewanowicz πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 575 KB

We give explicitly recurrence relations satisfied by the connection coefficients between two families of the classical orthogonal polynomials of a discrete variable (i.e., associated with the names of Charlier, Meixner, Krawtchouk and Hahn). Also, a recurrence relation is given for the coefficients

On the Zeros of a Class of Polynomials D
On the Zeros of a Class of Polynomials Defined by a Three Term Recurrence Relation
✍ E.K. Ifantis; P.N. Panagopoulos πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 316 KB

Let \(P\_{N+1}(x)\) be the polynomial which is defined recursively by \(P\_{0}(x)=0\), \(P\_{1}(x)=1, \quad\) and \(\alpha\_{n} P\_{n+1}(x)+\alpha\_{n-1} P\_{n-1}(x)+b\_{n} P\_{n}(x)=x d\_{n} P\_{n}(x), \quad n=1, \quad 2, \ldots, N\), where \(\alpha\_{n}, b\_{n}, d\_{n}\) are real sequences with \(

A new extension of -Euler numbers and po
A new extension of -Euler numbers and polynomials related to their interpolation functions
✍ Hacer Ozden; Yilmaz Simsek πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 216 KB

In this work, by using a p-adic q-Volkenborn integral, we construct a new approach to generating functions of the (h, q)-Euler numbers and polynomials attached to a Dirichlet character Ο‡. By applying the Mellin transformation and a derivative operator to these functions, we define (h, q)-extensions