Colorful Challenges: Summation Construction

Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this ...

In this article, we derive summation formulae for the Gould-Hopper generalized Hermite polynomials g"n^m(x,y). Further, we derive the summation formulae for polynomials related to g"n^m(x,y) as applications. Furthermore, we establish a summation formula ...

This article describes the REDUCE package ZEILBERG implemented by Gregor Stölting and the author which can be obtained from RedLib, accessible via anonymous ftp on ftp.zib-berlin.de in the directory pub/redlib/rules.The REDUCE package ZEILBERG is a ...