Stefan Kahler

collaborators

3 papers

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…

math.CA2023

Expansions and Characterizations of Sieved Random Walk Polynomials

Stefan Kahler

We consider random walk polynomial sequences $(P_{n} (x))_{n \in N_{0}} \subseteq R [x]$ given by recurrence relations $P_{0} (x) = 1$ , $P_{1} (x) = x$ , $x P_n(x)=(1-c_n)P_{n+1}(x)+c…