Stefan Kahler

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20182026

most citedTurán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials

2 citations · 3 across the 7 of their papers we have counts for

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math.CA2026

On Turán's inequality: new general criteria, nonnegative representations and the class of generalized Chebyshev polynomials

Stefan Kahler

Originally, Turán's inequality states that if $(P_{n} (x))_{n \in N_{0}}$ is the sequence of Legendre polynomials, then $Δ_{n} (x) := P_{n}^{2} (x) - P_{n + 1} (x) P_{n - 1} (x) \geq 0$ for all $n\in…

math.CA2026

A new class of orthogonal polynomials

Stefan Kahler, Josef Obermaier

We consider random walk polynomial sequences $(P_{n} (x))_{n \in N_{0}} \subseteq R [x]$ given by recurrence relations of the form $P_{0} (x) = 1$ , $P_{1} (x) = x$ and $x P_n(x)=a_n…