9 citations · 12 across the 6 of their papers we have counts for
6 papers
Representations of orthogonal polynomials
Wolfram Koepf, Dieter Schmersau
Zeilberger's algorithm provides a method to compute recurrence and differential equations from given hypergeometric series representations, and an adaption of Almquist and Zeilberg…
Algorithms for classical orthogonal polynomials
Wolfram Koepf, Dieter Schmersau
In this article explicit formulas for the recurrence equation p_{n+1}(x) = (A_n x + B_n) p_n(x) - C_n p_{n-1}(x) and the derivative rules sigma(x) p'_n(x) = alpha_n p_{n+1}(x) + be…
Weinstein's functions and the Askey-Gasper identity
Wolfram Koepf, Dieter Schmersau
In his 1984 proof of the Bieberbach and Milin conjectures de Branges used a positivity result of special functions which follows from an identity about Jacobi polynomial sums that…
On the De Branges theorem
Wolfram Koepf, Dieter Schmersau
Recently, Todorov and Wilf independently realized that de Branges' original proof of the Bieberbach and Milin conjectures and the proof that was later given by Weinstein deal with…
Spaces of functions satisfying simple differential equations
Wolfram Koepf, Dieter Schmersau
In \cite{Koe92}--\cite{Koe93c} the first author published an algorithm for the conversion of analytic functions for which derivative rules are given into their representing power s…
Bounded nonvanishing functions and Bateman functions
Wolfram Koepf, Dieter Schmersau
We consider the family B-tilde of bounded nonvanishing analytic functions f(z) = a_0 + a_1 z + a_2 z^2 + ... in the unit disk. The coefficient problem had been extensively investig…