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Zeros of optimal polynomial approximants: Jacobi matrices and Jentzsch-type theorems [PDF]

open access: green, 2019
Catherine Beneteau   +4 more
openalex   +1 more source

Darboux transformation of symmetric Jacobi matrices and Toda lattices

open access: yesFrontiers 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

The orthogonal polynomials generated by [ceteris omissis] [PDF]

open access: yesRendiconti di Matematica e delle Sue Applicazioni, 1995
Starting from the generating function, a differential-recurrence relation is derived, which is then combined with the three-term pure recurrence formula (a necessary and sufficient condition for orthogonal polynomials) to obtain a differential ...
A.L.W. VON BACHHAUS
doaj  

Inequalities for zeros of Jacobi polynomials via Obrechkoff’s theorem [PDF]

open access: bronze, 2011
Iván Area   +3 more
openalex   +1 more source

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