Results 91 to 100 of about 14,680 (235)
, 2016 In this paper, a fourth-order partial divided-difference equation on quadratic lattices with polynomial coefficients satisfied by bivariate Racah polynomials is presented.
Area, I. +4 more
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Acta Crystallographica Section D, Volume 81, Issue 12, Page 678-692, December 2025.Xtricorder is a tool for analysing crystallographic data, featuring a likelihood‐enhanced self‐rotation function and a novel `composite‐section diagram' thereof, which aids interpretation and enables a machine learning‐enhanced prediction of asymmetric unit content.Analysis of crystallographic diffraction data after collection and integration but ...
Airlie J. McCoy, Randy J. Read
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Difference Sturm--Liouville problems in the imaginary direction
, 2011 We consider difference operators in $L^2$ on $\R$ of the form $$ L f(s)=p(s)f(s+i)+q(s) f(s)+r(s) f(s-i) ,$$ where $i$ is the imaginary unit. The domain of definiteness are functions holomorphic in a strip with some conditions of decreasing at infinity ...
Neretin, Yury
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Deformed su(1,1) Algebra as a Model for Quantum Oscillators
Symmetry, Integrability and Geometry: Methods and Applications, 2012 The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su}(1,1) can be extended to representations of this deformed algebra su(1,1)_gamma.
Elchin I. Jafarov +2 more
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An addition theorem for someq-Hahn polynomials
Monatshefte f�r Mathematik, 1978 Theq-Hahn polynomials appear as functions on the lattice of subspaces of a finite-dimensional vector space over a finite field. Irreducible representations of the related general linear group are restricted to a maximal parabolic subgroup, and a specific description of the resulting irreducible components leads to an addition formula.
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, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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Properties of some families of hypergeometric orthogonal polynomials in several variables
, 1996 Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
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Laguerre–Hahn orthogonal polynomials on the real line [PDF]
Random Matrices: Theory and Applications, 2019 A survey is given on sequences of orthogonal polynomials related to Stieltjes functions satisfying a Riccati type differential equation with polynomial coefficients — the so-called Laguerre–Hahn class. The main goal is to describe analytical aspects, focusing on differential equations for those orthogonal polynomials, difference and differential ...
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Multivariate Hahn polynomials and difference equations
, 2023 LaTeX 32 pages, no ...
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An Orthogonal Polynomial Solution to the Confluent-Type Heun’s Differential Equation
MathematicsIn this work, we present both analytical and numerical solutions to a seven-parameter confluent Heun-type differential equation. This second-order linear differential equation features three singularities: two regular singularities and one irregular ...
Saiful R. Mondal, Varun Kumar
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