Results 101 to 110 of about 40,478 (197)

The Zeros of Orthogonal Polynomials for Jacobi-Exponential Weights

Abstract 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

A Bochner Theorem for Dunkl Polynomials

Symmetry, 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

Journal 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, D. L. Suthar, Minilik Ayalew   +2 more
doaj   +1 more source

Darboux transformation of symmetric Jacobi matrices and Toda lattices

Frontiers 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

A numerical method based on the shifted Jacobi polynomials for a class of tempered fractional quadratic integro-differential equations

Results in Applied Mathematics
This paper introduces a new class of tempered fractional quadratic integro-differential equations using the Caputo fractional derivative. The existence and uniqueness of solutions to these equations are analyzed.
P. Senfiazad, M.H. Heydari, M. Bayram, D. Baleanu   +3 more
doaj   +1 more source

Biorthogonal polynomials suggested by the Jacobi polynomials [PDF]

Pacific Journal of Mathematics, 1982
Madhekar, H. C., Thakare, N. K.
openaire   +3 more sources

Generalized Jacobi polynomials [PDF]

Bulletin of the American Mathematical Society, 1936
Sen, D. N., Rangachariar, V.
openaire   +2 more sources

Multivariate circular Jacobi polynomials

, 2014
We introduce a new multivariate orthogonal polynomial which is a 2-parameter deformation of the spherical polynomial by harmonic analysis on symmetric cone. This is also regarded as a multivariate analogue of the circular Jacobi polynomial. Further, the weight function of its orthogonality relation coincides with the circular Jacobi ensemble defined by
openaire   +2 more sources

Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms. [PDF]

Philos Trans A Math Phys Eng Sci
Minenkova A, Mograby G, Zhan H.
europepmc   +1 more source