81 citations · 484 across the 73 of their papers we have counts for
6 papers · 1 filter
Moments of Orthogonal Polynomials and Exponential Generating Functions
Ira M. Gessel, Jiang Zeng
Starting from the moment sequences of classical orthogonal polynomials we derive the orthogonality purely algebraically. We consider also the moments of () classical orthogona…
q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers
Ana F. Loureiro, Jiang Zeng
We introduce, characterise and provide a combinatorial interpretation for the so-called -Jacobi-Stirling numbers. This study is motivated by their key role in the (reciprocal) e…
An explicit formula for the linearization coefficients of Bessel polynomials II
Mohamed Jalel Atia
In this paper, a single sum formula for the linearization coefficients of the Bessel polynomials is given. In three special cases this formula reduces indeed to either Atia and Zen…
Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials
Mourad E. H. Ismail, Anisse Kasraoui, Jiang Zeng
We propose a new approach to the combinatorial interpretations of linearization coefficient problem of orthogonal polynomials. We first establish a difference system and then solve…
An explicit formula for the linearization coefficients of Bessel polynomials
Mohamed Jalel Atia, Jiang Zeng
We prove a single sum formula for the linearization coefficients of the Bessel polynomials. In two special cases we show that our formula reduces indeed to Berg and Vignat's formul…
Addition Theorems Via Continued Fractions
Mourad E. H. Ismail, Jiang Zeng
We show connections between a special type of addition formulas and a theorem of Stieltjes and Rogers. We use different techniques to derive the desirable addition formulas. We app…