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math.CA2022
Turán inequalities from Chebyshev to Laguerre polynomials
Bernhard Heim, Markus Neuhauser, Robert Troeger
Let and be real-valued arithmetic functions, positive and normalized. Specific choices within the following general scheme of recursively defined polynomials \begin{equatio…
math.CA2021
Asymptotic Distribution of the Zeros of recursively defined Non-Orthogonal Polynomials
Bernhard Heim, Markus Neuhauser
We study the zero distribution of non-orthogonal polynomials attached to : \begin{equation*} Q_n^g(x)= x \sum_{k=1}^n g(k) \, Q_{n-k}^g(x), \quad Q_0^g(x):=1. \end{e…