Results 111 to 120 of about 535,269 (286)

On the completely indeterminate case for block Jacobi matrices

open access: yesConcrete 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

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

open access: yesAdvances 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   +3 more
doaj   +1 more source

Biorthogonal polynomials suggested by the Jacobi polynomials [PDF]

open access: yesPacific Journal of Mathematics, 1982
Madhekar, H. C., Thakare, N. K.
openaire   +3 more sources

The Spectral Connection Matrix for Any Change of Basis within the Classical Real Orthogonal Polynomials

open access: yesMathematics, 2015
The connection problem for orthogonal polynomials is, given a polynomial expressed in the basis of one set of orthogonal polynomials, computing the coefficients with respect to a different set of orthogonal polynomials.
Tom Bella, Jenna Reis
doaj   +1 more source

A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

open access: yesAdvances in Mathematical Physics, 2014
The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.
A. H. Bhrawy, M. A. Alghamdi
doaj   +1 more source

The quantized Jacobi polynomials [PDF]

open access: yesApplications of Mathematics, 1987
Summary: The author studies a system of polynomials orthogonal at a finite set of points, its weight approximating that of the orthogonal system of classical Jacobi polynomials.
openaire   +1 more source

Hankel determinants and Jacobi continued fractions for $q$-Euler numbers

open access: yesComptes Rendus. Mathématique
The $q$-analogs of Bernoulli and Euler numbers were introduced by Carlitz in 1948. Similar to recent results on the Hankel determinants for the $q$-Bernoulli numbers established by Chapoton and Zeng, we perform a parallel analysis for the $q$-Euler ...
Chern, Shane, Jiu, Lin
doaj   +1 more source

Home - About - Disclaimer - Privacy