Results 91 to 100 of about 619 (209)

The generalized Hahn polynomials

open access: yes, 2015
In this paper, we represent the generalized Hahn polynomials ?(a)n (x, y) by the Cauchy operator for deriving its identities: generating function, Mehler’s formula, Rogers formula (with some of its applications), Rogers-type formula, extended generating function, extended Mehler’s formula, extended Rogers formula and another extended identities.
openaire   +2 more sources

A CHARACTERIZATION OF MEIXNER ORTHOGONAL POLYNOMIALS VIA A CERTAIN TRANSFERT OPERATOR

open access: yesUral Mathematical Journal
Here we consider a certain transfert operator \(\mathrm{M}_{(c,\omega)}=I_{\mathcal{P}}-c \, \tau_{\omega},\) \(\omega\neq0,\) \({c \in \mathbb{R}-\{0,1\},}\) and we prove the following statement: up to an affine transformation, the only orthogonal ...
Emna Abassi, Lotfi Khériji
doaj   +1 more source

Two q-Operational Equations and Hahn Polynomials

open access: yesComplex Analysis and Operator Theory
Motivated by Liu's recent work in \cite{Liu2022}. We shall reveal the essential feature of Hahn polynomials by presenting two new $q$-exponential operators. These lead us to use a systematic method to study identities involving Hahn polynomials. As applications, we use the method of $q$-exponential operator to prove the bilinear generating function of ...
Gu, Jing, Yang, DunKun, Bao, Qi
openaire   +2 more sources

Spectral Analysis of Certain Schrödinger Operators

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2012
The J-matrix method is extended to difference and q-difference operators and is applied to several explicit differential, difference, q-difference and second order Askey-Wilson type operators.
Mourad E.H. Ismail, Erik Koelink
doaj   +1 more source

Association of Alcohol Consumption With CD4 Recovery After Antiretroviral Therapy Initiation in St. Petersburg, Russia. [PDF]

open access: yesJ Acquir Immune Defic Syndr, 2023
McLaughlin A   +14 more
europepmc   +1 more source

Distillation Column Simulation by Orthogonal Collocation: Efficient Solution Strategy

open access: yesJournal of King Saud University: Engineering Sciences, 1993
A reduced-order collocation method (using Jacobi or Hahn polynomials) is used for the simulation of distillation columns. A new solution strategy which uses the overall balances and equilibrium relations to eliminate the need to include the vapour flows ...
K.M. Wagialla, M.A. Soliman
doaj  

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