Results 81 to 90 of about 139,435 (183)

Korobov’s controllability function method via orthogonal polynomials on [0,∞)

open access: yesVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
Given a controllable system described by ordinary or partial differential equations and an initial state, the problem of finding a set of bounded positional controls that transfer the initial state to another state, not necessarily an equilibrium point ...
Abdon Choque, Tatjana Vukasinac
doaj   +1 more source

Sobolev orthogonal polynomials on a simplex

open access: yes, 2011
The Jacobi polynomials on the simplex are orthogonal polynomials with respect to the weight function $W_\bg(x) = x_1^{\g_1} ... x_d^{\g_d} (1- |x|)^{\g_{d+1}}$ when all $\g_i > -1$ and they are eigenfunctions of a second order partial differential ...
Aktas, Rabia, Xu, Yuan
core  

On the Limit from q-Racah Polynomials to Big q-Jacobi Polynomials

open access: yesSymmetry, Integrability and Geometry: Methods and Applications, 2011
A limit formula from q-Racah polynomials to big q-Jacobi polynomials is given which can be considered as a limit formula for orthogonal polynomials.
Tom H. Koornwinder
doaj   +1 more source

Coefficients bounds for a subclass of q-bi-starlike functions associated with the generalized q-Lommel polynomials

open access: yesApplied Mathematics in Science and Engineering
Orthogonal q-polynomials, both new and old, have witnessed a huge and revived attention in recent years, because of their applications in many diverse areas of mathematics and other sciences. In Geometric Function Theory, different subclasses of analytic
Muhammad Uzair Shah   +4 more
doaj   +1 more source

A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials. [PDF]

open access: yesCommun Math Phys, 2020
Charlier C   +3 more
europepmc   +1 more source

On orthogonal polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 1931
openaire   +2 more sources

Expressions of Legendre polynomials through Bernoulli polynomials

open access: yesRevista Técnica de la Facultad de Ingeniería, 2011
A formula for expanding Legendre polynomials in Bernoulli polynomials is considered. The relationship is established by using a formula of finite summation, obtained by applying the discrete orthogonal relation of the modified Lommel polynomials.
Vu Kim Tuan, Nguyen Thi Tinh
doaj  

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