Discrete semi-classical orthogonal polynomials: Generalized Meixner
نویسندگان
چکیده
منابع مشابه
Generalized Coherent States for Classical Orthogonal Polynomials
For the oscillator-like systems, connected with the Laguerre, Legendre and Chebyshev polynomials coherent states of Glauber-Barut-Girardello type are defined. The suggested construction can be applied to each system of orthogonal polynomials including classical ones as well as deformed ones.
متن کاملExceptional Meixner and Laguerre orthogonal polynomials
Using Casorati determinants of Meixner polynomials (m n )n , we construct for each pair F = (F1, F2) of finite sets of positive integers a sequence of polynomials ma,c;F n , n ∈ σF , which are eigenfunctions of a second order difference operator, where σF is certain infinite set of nonnegative integers, σF N. When c and F satisfy a suitable admissibility condition, we prove that the polynomials...
متن کاملConnection preserving deformations and q-semi-classical orthogonal polynomials
We present a framework for the study of q-differential equations satisfied by q-semi-classical orthogonal systems. As an example, we identify the q-differential equation satisfied by a deformed version of the little q-Jacobi polynomials as a guage transformation of a special case of the associated linear problem for q-PV I . We obtain a parametrization of the associated linear problem in terms ...
متن کاملZeros of classical orthogonal polynomials of a discrete variable
In this paper we obtain sharp bounds for the zeros of classical orthogonal polynomials of a discrete variable, considered as functions of a parameter, by using a theorem of A. Markov and the so-called HellmannFeynman theorem. Comparisons with previous results for zeros of Hahn, Meixner, Kravchuk and Charlier polynomials are also presented.
متن کاملDifference equations for discrete classical multiple orthogonal polynomials
For discrete multiple orthogonal polynomials such as the multiple Charlier polynomials, the multiple Meixner polynomials, and the multiple Hahn polynomials, we first find a lowering operator and then give a (r + 1)th order difference equation by combining the lowering operator with the raising operator. As a corollary, explicit third order difference equations for discrete multiple orthogonal p...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1986
ISSN: 0021-9045
DOI: 10.1016/0021-9045(86)90073-0