Bivariate Generalized Shifted Gegenbauer Orthogonal System

MA Alqudah, MN Almheidat… - Journal of …, 2021 - Wiley Online Library
For K0, K1≥ 0, λ>−(1/2), we examine C r∗ λ, K 0, K 1 x, generalized shifted Gegenbauer
orthogonal polynomials, with reference to the weight W λ, K 0, K 1 x= 2 λ Γ 2 λ/Γ λ+ 12/2 x− x …

Recurrence relation for generalized shifted Chebyshev Koornwinder's type polynomials

MA Alqudah, MN Almheidat - AIP Conference Proceedings, 2020 - pubs.aip.org
For the generalized Shifted Chebyshev Koornwinder's type orthogonal polynomials, T∗(K1,
K2) n(x), in terms of Bernstein coefficients αn, r, d ζ, with respect to the measure 1 π (1− x2) …

[CITATION][C] Characterization of generalized Jacobi polynomials using bernstein basis

M Alqudah, M Almheidat - AIP Conference Proceedings, 2024 - pubs.aip.org
The paper presents a characterization of the generalized Jacobi type polynomials, denoted
by P n (α, β, M, N)(x), along with an explicit closed formula for P r (α, β, M, N)(x) where r is …