Companion orthogonal polynomials
Journal of Computational and Applied Mathematics
Companion orthogonal polynomials: some applications
Applied Numerical Mathematics
A note on the zeros of Freud-Sobolev orthogonal polynomials
Journal of Computational and Applied Mathematics
Monotonicity of zeros of Jacobi--Sobolev type orthogonal polynomials
Applied Numerical Mathematics
Some asymptotics for Sobolev orthogonal polynomials involving Gegenbauer weights
Journal of Computational and Applied Mathematics
Kernel polynomials from L-orthogonal polynomials
Applied Numerical Mathematics
Asymptotic properties of Laguerre---Sobolev type orthogonal polynomials
Numerical Algorithms
Monotonicity and asymptotics of zeros of Sobolev type orthogonal polynomials: A general case
Applied Numerical Mathematics
Hi-index | 7.29 |
In this paper, we derive an explicit expression for the parameter sequences of a chain sequence in terms of the corresponding orthogonal polynomials and their associated polynomials. We use this to study the orthogonal polynomials Kn(λ,m,k) associated with the probability measure dφ(λ,m,k;x), which is the Gegenbauer measure of parameter λ + 1 with two additional mass points at ±k. When k = 1 we obtain information on the polynomials Kn(λ,M) which are the symmetric Koornwinder polynomials. Monotonicity properties of the zeros of Kn(λ,M,k) in relation to M and k are also given.