Results 101 to 110 of about 180,252 (161)

Painleve Equations and Orthogonal Polynomials [PDF]

, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

Local Estimates for the Koornwinder Jacobi-Type Polynomials [PDF]

, 2011
In this paper we give some local estimates for the Koornwinder Jacobi-type polynomials by using asymptotic properties of Jacobi orthogonal ...
Shabani, Armend S., Braha, Naim L., Krasniqi, Valmir   +2 more
core   +1 more source

A relation between Jacobi polynomials

, 1977
In this paper the author establishes a new relation between Jacobi ...
Toscano, L
core   +1 more source

Subalgebras of gc_N and Jacobi polynomials

, 2002
We classify the subalgebras of the general Lie conformal algebra gc_N that act irreducibly on C[d]^N and that are normalized by the sl_2-part of a Virasoro element. The problem turns out to be closely related to classical Jacobi polynomials.
Alberto De Sole, KAC V., DE SOLE, ALBERTO, Victor G. Kac   +3 more
core   +1 more source

An upper bound on Jacobi polynomials

Journal of Approximation Theory, 2007
Let ${\bf P}_k^{(α, β)} (x)$ be an orthonormal Jacobi polynomial of degree $k.$ We will establish the following inequality \begin{equation*} \max_{x \in [δ_{-1},δ_1]}\sqrt{(x- δ_{-1})(δ_1-x)} (1-x)^α(1+x)^β ({\bf P}_{k}^{(α, β)} (x))^2 < \frac{3 \sqrt{5}}{5}, \end{equation*} where $δ_{-1}
openaire   +4 more sources

Jacobi polynomials method for a coupled system of Hadamard fractional Klein–Gordon–Schrödinger equations

Alexandria Engineering Journal
In this work, the Caputo-type Hadamard fractional derivative is utilized to introduce a coupled system of time fractional Klein–Gordon-Schrödinger equations.
M.H. Heydari, M. Razzaghi
doaj   +1 more source

Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials

Advances in Difference Equations, 2019
In this paper, we investigate sums of finite products of Chebyshev polynomials of the first kind and those of Lucas polynomials. We express each of them as linear combinations of Hermite, extended Laguerre, Legendre, Gegenbauer, and Jacobi polynomials ...
Taekyun Kim, Dae San Kim, Lee-Chae Jang, D. V. Dolgy   +3 more
doaj   +1 more source

Classification of Exceptional Jacobi Polynomials

Studies in Applied Mathematics
ABSTRACT We provide a full classification scheme for exceptional Jacobi operators and polynomials. The classification contains six degeneracy classes according to whether or assume integer values. Exceptional Jacobi operators are in one‐to‐one correspondence with spectral diagrams, a combinatorial object that describes the quasi ...
García-Ferrero, María Ángeles, Gómez-Ullate, David, Milson, Robert   +2 more
openaire   +3 more sources

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate

, 2008
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Meixner Polynomials
core  

On the completely indeterminate case for block Jacobi matrices

Concrete Operators, 2017
We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj   +1 more source