Asymptotics for recurrence coefficients of X1-Jacobi exceptional polynomials and Christoffel function
ÁP Horváth - Integral Transforms and Special Functions, 2020 - Taylor & Francis
Computing asymptotics of the recurrence coefficients of X 1-Jacobi polynomials, we
investigate the limit of the Christoffel function. We also study the relation between the …
investigate the limit of the Christoffel function. We also study the relation between the …
Multiplication operator and exceptional Jacobi polynomials
ÁP Horváth - arXiv preprint arXiv:2003.11861, 2020 - arxiv.org
Below the normalized weighted reciprocal of the Christoffel function with respect to
exceptional Jacobi polynomials is investigated. It is proved that it tends to the equilibrium …
exceptional Jacobi polynomials is investigated. It is proved that it tends to the equilibrium …
Multiplication operator and average characteristic polynomial associated with exceptional Jacobi polynomials
ÁP Horváth - The Ramanujan Journal, 2022 - Springer
Multiplication operator and average characteristic polynomial associated with exceptional
Jacobi polynomials | The Ramanujan Journal Skip to main content SpringerLink Account Menu …
Jacobi polynomials | The Ramanujan Journal Skip to main content SpringerLink Account Menu …
Convergence rates of exceptional zeros of exceptional orthogonal polynomials
B Simanek - Computational Methods and Function Theory, 2023 - Springer
We consider the zeros of exceptional orthogonal polynomials (XOP). Exceptional orthogonal
polynomials were originally discovered as eigenfunctions of second order differential …
polynomials were originally discovered as eigenfunctions of second order differential …
Behavior of zeros of -Jacobi and -Laguerre exceptional polynomials
YC Lun - arXiv preprint arXiv:1807.00034, 2018 - arxiv.org
The $ X_1 $-Jacobi and the $ X_1 $-Laguerre exceptional orthogonal polynomials have
been introduced and studied by G\'omez-Ullate, Kamran and Milson in a series of papers. In …
been introduced and studied by G\'omez-Ullate, Kamran and Milson in a series of papers. In …
Zeros of exceptional orthogonal polynomials and the maximum of the modulus of an energy function
Y Luo - arXiv preprint arXiv:1707.05202, 2017 - arxiv.org
We propose a new property of the zeros of exceptional orthogonal polynomials. It has been
known that exceptional orthogonal polynomials (XOP) have both real and complex zeros. By …
known that exceptional orthogonal polynomials (XOP) have both real and complex zeros. By …
[PDF][PDF] Studies on generalizations of the classical orthogonal polynomials where gaps are allowed in their degree sequences
Y Luo - 2020 - repository.kulib.kyoto-u.ac.jp
L [pn (x) pm (x)]= hnδm, n, hn ̸= 0,(1a) deg (pn (x))= n,(1b) where δm, n is Kronecker's
delta, δn, n= 1 and δm, n= 0,∀ m ̸= n. The most widely used orthogonal polynomials are …
delta, δn, n= 1 and δm, n= 0,∀ m ̸= n. The most widely used orthogonal polynomials are …
Asymptotics for Recurrence Coefficients of X1-Jacobi Polynomials and Christoffel Function
ÁP Horváth - arXiv preprint arXiv:1905.11195, 2019 - arxiv.org
Computing asymptotics of the recurrence coefficients of X1-Jacobi polynomials we
investigate the limit of Christoffel function. We also study the relation between the …
investigate the limit of Christoffel function. We also study the relation between the …