Results 121 to 130 of about 538,632 (288)

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

The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights

open access: yesAbstract and Applied Analysis, 2012
This paper gives the estimates of the zeros of orthogonal polynomials for Jacobi-exponential weights.
Rong Liu, Ying Guang Shi
doaj   +1 more source

Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem [PDF]

open access: bronze, 2011
Iván Area   +3 more
openalex   +1 more source

A Bochner Theorem for Dunkl Polynomials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
We establish an analogue of the Bochner theorem for first order operators of Dunkl type, that is we classify all such operators having polynomial solutions.
Luc Vinet, Alexei Zhedanov
doaj   +1 more source

Finite Integral Formulas Involving Multivariable Aleph-Functions

open access: yesJournal of Applied Mathematics, 2019
The integrals evaluated are the products of multivariable Aleph-functions with algebraic functions, Jacobi polynomials, Legendre functions, Bessel-Maitland functions, and general class of polynomials.
Hagos Tadesse   +2 more
doaj   +1 more source

Darboux transformation of symmetric Jacobi matrices and Toda lattices

open access: yesFrontiers in Applied Mathematics and Statistics
Let J be a symmetric Jacobi matrix associated with some Toda lattice. We find conditions for Jacobi matrix J to admit factorization J = LU (or J = 𝔘𝔏) with L (or 𝔏) and U (or 𝔘) being lower and upper triangular two-diagonal matrices, respectively.
Ivan Kovalyov, Oleksandra Levina
doaj   +1 more source

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