Results 41 to 50 of about 90,721 (207)

Bivariate Hahn moments for image reconstruction

International Journal of Applied Mathematics and Computer Science, 2014
This paper presents a new set of bivariate discrete orthogonal moments which are based on bivariate Hahn polynomials with non-separable basis. The polynomials are scaled to ensure numerical stability.
Wu Haiyong, Yan Senlin
doaj   +1 more source

Orthogonal polynomials and Stieltjes functions: the Laguerre-Hahn case [PDF]

Rendiconti di Matematica e delle Sue Applicazioni, 1996
In this paper we consider orthogonal polynomials of the so-called Laguerre-Hahn class. This means that the Stieltjes function associated with the corresponding moment sequence satisfies a Riccati differential equation with polynomial coefficients.
E. PRIANES, F. MARCELLÁN
doaj  

A finite quantum oscillator model related to special sets of Racah polynomials [PDF]

, 2016
In [R. Oste and J. Van der Jeugt, arXiv: 1507.01821 [math-ph]] we classified all pairs of recurrence relations in which two (dual) Hahn polynomials with different parameters appear.
Oste, Roy, Van der Jeugt, Joris
core   +3 more sources

Krylov complexity and orthogonal polynomials

Nuclear Physics B, 2022
Krylov complexity measures operator growth with respect to a basis, which is adapted to the Heisenberg time evolution. The construction of that basis relies on the Lanczos algorithm, also known as the recursion method.
Wolfgang Mück, Yi Yang
doaj  

On Perfectness of Systems of Weights Satisfying Pearson’s Equation with Nonstandard Parameters

Axioms, 2023
Measures generating classical orthogonal polynomials are determined by Pearson’s equation, whose parameters usually provide the positivity of the measures.
Alexander Aptekarev, Alexander Dyachenko, Vladimir Lysov   +2 more
doaj   +1 more source

Some New Generating Functions for q-Hahn Polynomials

Journal of Applied Mathematics, 2014
We obtain some new generating functions for q-Hahn polynomials and give their proofs based on the homogeneous q-difference operator.
Yun Zhou, Qiu-Ming Luo
doaj   +1 more source

Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters [PDF]

arXiv, 2021
We construct new examples of bispectral dual Hahn polynomials, i.e., orthogonal polynomials with respect to certain superposition of Christoffel and Geronimus transforms of the dual Hahn measure and which are also eigenfunctions of a higher order difference operator.
arxiv  

New Karhunen-Loève expansions based on Hahn polynomials with application to a Sobolev test for uniformity on Johnson graphs

Comptes Rendus. Mathématique
We give a new family of Karhunen-Loève expansions involving Hahn polynomials. This enables us to introduce discrete analogues of Watson statistics, and a test for uniformity on Johnson’s graphs. We use the fact that the zonal spherical functions on these
Pycke, Jean-Renaud
doaj   +1 more source

Markov Moment Problem and Sandwich Conditions on Bounded Linear Operators in Terms of Quadratic Forms

Mathematics, 2022
As is well-known, unlike the one-dimensional case, there exist nonnegative polynomials in several real variables that are not sums of squares. First, we briefly review a method of approximating any real-valued nonnegative continuous compactly supported ...
Octav Olteanu
doaj   +1 more source

The orthogonal Shmaliy polynomials are Hahn polynomials [PDF]

arXiv, 2021
Morales-Mendoza et al. present in 2013 a new class of discrete orthogonal polynomials. They use these polynomials to design an unbiased FIR filter. In their paper they make the statement that a representation of the polynomials via hypergeometric functions is unknown. However Shakibaei Asli et al.
arxiv