J. Arves'u

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20122020

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math.CA2020

Interlacing of zeros of Laguerre polynomials of equal and consecutive degree

J. Arvesú, K. Driver, L. Littlejohn

We investigate interlacing properties of zeros of Laguerre polynomials $L_{n}^{(α)} (x)$ and $L_{n + 1}^{(α + k)} (x),$ $α > - 1,$ where $n \in N$ and $k \in {1, 2}$ . W…

math.CA2020

Zeros of Jacobi and Ultraspherical polynomials

J. Arvesú, K. Driver, L. Littlejohn

Suppose ${P_{n}^{(α, β)} (x)}_{n = 0}^{\infty}$ is a sequence of Jacobi polynomials with $α, β > - 1.$ We discuss special cases of a question raised by Alan Sokal at OPSFA in 2019, nam…