**pqTelescope**: A Mathematica implementation of a generalization of Gosper’s algorithm to bibasic hypergeometric summation¶

This package is part of the RISCErgoSum bundle. See Download and Installation.

## Short Description¶

`pqTelescope`

is a Mathematica implementation of a generalization of
Gosper’s algorithm to indefinite bibasic hypergeometric summation.

The package has been developed by Axel Riese, a former member of the RISC Combinatorics group.

## Accompanying Files¶

Some examples can be found in the Mathematica notebook accompanying the author’s qZeil implementation.

qZeilExamples.nb a Mathematica notebook consisting of about 500 examples

## Important Upgrade Information¶

Beginning with version 2.2 the main function is called `pqTelescope`

instead of `qTelescope`

.

## Literature¶

Information on the installation and use of the package (together with its theoretical background) can be found in the paper

A. Riese,

A Generalization of Gosper’s Algorithm to Bibasic Hypergeometric Summation, Electronic Journal of Combinatorics, 3`, 1996, #R19. [original pdf from EJC] [local copy]