11 citations · 61 across the 21 of their papers we have counts for
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REDUCE package for the indefinite and definite summation
Wolfram Koepf
This article describes the REDUCE package ZEILBERG implemented by Gregor Stölting and the author. The REDUCE package ZEILBERG is a careful implementation of the Gosper and Zeilberg…
Algorithms for the indefinite and definite summation
Wolfram Koepf
The celebrated Zeilberger algorithm which finds holonomic recurrence equations for definite sums of hypergeometric terms is extended to certain nonhypergeometric terms. An…
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…
Algorithmic work with orthogonal polynomials and special functions
Wolfram Koepf
In this article we present a method to implement orthogonal polynomials and many other special functions in Computer Algebra systems enabling the user to work with those functions…
A package on formal power series
Wolfram Koepf
Formal Laurent-Puiseux series are important in many branches of mathematics. This paper presents a {\it Mathematica} implementation of algorithms developed by the author for conver…