Jacobi Matrix Pair and Dual Alternative q-Charlier Polynomials
نویسندگان
چکیده
منابع مشابه
A set of orthogonal polynomials, dual to alternative q-Charlier polynomials
The aim of this paper is to derive (by using two operators, representable by a Jacobi matrix) a family of q-orthogonal polynomials, which turn to be dual to alternative q-Charlier polynomials. A discrete orthogonality relation and a three-term recurrence relation for these dual polynomials are explicitly obtained. The completeness property of dual alternative q-Charlier polynomials is also esta...
متن کاملMatrix-valued little q-Jacobi polynomials
Matrix-valued analogues of the little q-Jacobi polynomials are introduced and studied. For the 2 × 2-matrix-valued little q-Jacobi polynomials explicit expressions for the orthogonality relations, Rodrigues formula, three-term recurrence relation and its relation to matrix-valued q-hypergeometric series and the scalar-valued little q-Jacobi polynomials are presented. The study is based on the m...
متن کاملThe Combinatorics of q-Charlier Polynomials
We describe various aspects of the Al-Salam-Carlitz q-Charlier polynomials. These include combinatorial descriptions of the moments, the orthogonality relation, and the linearization coefficients.
متن کاملConvergent Asymptotic Expansions of Charlier, Laguerre and Jacobi Polynomials
Convergent expansions are derived for three types of orthogonal polynomials: Charlier, Laguerre and Jacobi. The expansions have asymptotic properties for large values of the degree. The expansions are given in terms of functions that are special cases of the given polynomials. The method is based on expanding integrals in one or two points of the complex plane, these points being saddle points ...
متن کاملTHE COMBINATORICS OF THE AL-SALAM-CHIHARA q-CHARLIER POLYNOMIALS
We describe various aspects of the Al-Salam-Chihara q-Charlier polynomials. These include combinatorial descriptions of the polynomials, the moments, the orthogonality relation and a combinatorial proof of Anshelevich’s recent result on the linearization coefficients.
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: Ukrainian Mathematical Journal
سال: 2005
ISSN: 0041-5995,1573-9376
DOI: 10.1007/s11253-005-0223-6