2 citations · 3 across the 7 of their papers we have counts for
7 papers
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 is the sequence of Legendre polynomials, then for all $n\in…
A new class of orthogonal polynomials
Stefan Kahler, Josef Obermaier
We consider random walk polynomial sequences given by recurrence relations of the form , and $x P_n(x)=a_n…
Expansions and Characterizations of Sieved Random Walk Polynomials
Stefan Kahler
We consider random walk polynomial sequences given by recurrence relations , , $x P_n(x)=(1-c_n)P_{n+1}(x)+c…
Dual spaces vs. Haar measures of polynomial hypergroups
Stefan Kahler, Ryszard Szwarc
Many symmetric orthogonal polynomials induce a hypergroup structure on . The Haar measure is the counting measure weighted with $h(n):=1…
Harmonic analysis of little -Legendre polynomials
Stefan Kahler
Many classes of orthogonal polynomials satisfy a specific linearization property giving rise to a polynomial hypergroup structure, which offers an elegant and fruitful link to Four…
Nonnegative and strictly positive linearization of Jacobi and generalized Chebyshev polynomials
Stefan Kahler
In the theory of orthogonal polynomials, as well as in its intersection with harmonic analysis, it is an important problem to decide whether a given orthogonal polynomial sequence…
Turán's inequality, nonnegative linearization and amenability properties for associated symmetric Pollaczek polynomials
Stefan Kahler
An elegant and fruitful way to bring harmonic analysis into the theory of orthogonal polynomials and special functions, or to associate certain Banach algebras with orthogonal poly…