Results 121 to 130 of about 535,269 (286)

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

Extended Jacobi polynomials

open access: yesInternational Journal of Contemporary Mathematical Sciences, 2014
In this paper, with the help of generalized hypergeometric functions of the type 4 2 F , an extension of the Jacobi polynomials is established and a number of generating functions similar to those of classical Jacobi polynomials have been proved.
openaire   +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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