Results 21 to 30 of about 14,680 (235)

GLOBAL ASYMPTOTICS OF THE HAHN POLYNOMIALS [PDF]

Analysis and Applications, 2013
In this paper, we study the asymptotics of the Hahn polynomials Qn(x; α, β, N) as the degree n grows to infinity, when the parameters α and β are fixed and the ratio of n/N = c is a constant in the interval (0, 1). Uniform asymptotic formulas in terms of Airy functions and elementary functions are obtained for z in three overlapping regions, which ...
Lin, Yu, Wong, R.
openaire   +3 more sources

Computation of entanglement entropy in inhomogeneous free fermions chains by algebraic Bethe ansatz

SciPost Physics Proceedings, 2023
The computation of the entanglement entropy for inhomogeneous free fermions chains based on $q$-Racah polynomials is considered. The eigenvalues of the truncated correlation matrix are obtained from the diagonalization of the associated Heun operator via
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampé, Luc Vinet
doaj   +1 more source

Quantum communication through a spin chain with interaction determined by a Jacobi matrix [PDF]

, 2009
We obtain the time-dependent correlation function describing the evolution of a single spin excitation state in a linear spin chain with isotropic nearest-neighbour XY coupling, where the Hamiltonian is related to the Jacobi matrix of a set of orthogonal
Chakrabarti, R., Van der Jeugt, J.
core   +4 more sources

Analysing Effects of Birth Order on Intelligence, Educational Attainment, Big Five, and Risk Aversion in an Indonesian Sample

European Journal of Personality, EarlyView., 2020
Abstract Few studies have examined birth order effects on personality in countries that are not Western, educated, industrialized, rich, and democratic (WEIRD). However, theories have generally suggested that interculturally universal family dynamics are the mechanism behind birth order effects, and prominent theories such as resource dilution would ...
Laura J. Botzet, Julia M. Rohrer, Ruben C. Arslan   +2 more
wiley   +1 more source

A discrete orthogonal polynomials approach for fractional optimal control problems with time delay [PDF]

Iranian Journal of Numerical Analysis and Optimization, 2019
An efficient direct and numerical method has been proposed to approximate a solution of time-delay fractional optimal control problems. First, a class of discrete orthogonal polynomials, called Hahn polynomials, has been introduced and their properties ...
F. Mohammadi
doaj   +1 more source

Fourier Transform of the Orthogonal Polynomials on the Unit Ball and Continuous Hahn Polynomials

Axioms, 2022
Some systems of univariate orthogonal polynomials can be mapped into other families by the Fourier transform. The most-studied example is related to the Hermite functions, which are eigenfunctions of the Fourier transform.
Esra Güldoğan Lekesiz, Rabia Aktaş, Iván Area   +2 more
doaj   +1 more source

Hahn polynomials for hypergeometric distribution

Advances in Applied Mathematics, 2022
Orthogonal polynomials for the multivariate hypergeometric distribution are defined on lattices in polyhedral domains in $\RR^d$. Their structures are studied through a detailed analysis of classical Hahn polynomials with negative integer parameters. Factorization of the Hahn polynomials is explored and used to explain the relation between the index ...
Iliev, Plamen, Xu, Yuan
openaire   +3 more sources

Coupling coefficients of suq(1,1) and multivariate q-Racah polynomials

Nuclear Physics B, 2018
Gasper & Rahman's multivariate q-Racah polynomials are shown to arise as connection coefficients between families of multivariate q-Hahn or q-Jacobi polynomials. The families of q-Hahn polynomials are constructed as nested Clebsch–Gordan coefficients
Vincent X. Genest, Plamen Iliev, Luc Vinet   +2 more
doaj   +1 more source

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]

, 2011
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Griffiths, Robert C., Spanò, Dario
core   +1 more source

A Non-Standard Generating Function for Continuous Dual $q$-Hahn polynomials

Revista de Matemática: Teoría y Aplicaciones, 2011
We study a non-standard form of generating function for the three-parameter continuous dual q-Hahn polynomials $p_{n} (x; a, b, | q)$, which has surfaced in a recent work of the present authors on the construction of lifting $q$-difference operators in ...
Mesuma Atakishiyeva, Natig Atakishiyev
doaj   +1 more source