Engel: A Mathematica implementation of q-Engel Expansion¶
This package is part of the RISCErgoSum bundle. See Download and Installation.
Short Description¶
Engel
is a Mathematica implementation of the q -Engel
Expansion algorithm which expands q-series into inverse
polynomial series. Examples of q-Engel Expansions include the
Rogers-Ramanujan identities together with their elegant generalization
by Garrett, Ismail and Stanton.
Accompanying files¶
Literature¶
A detailed description of the package (together with its theoretical background) can be found in the paper
G.E. Andrews, A. Knopfmacher, P. Paule and B. Zimmermann Engel Expansions of q-Series by Computer Algebra, Symbolic Computation, Number Theory, Special Functions, Physics and Combinatorics (F.G. Garvan and M.E.H. Ismail, eds.), Developments in Mathematics, Vol. 4, pp. 33-57, Kluwer, 2001. [pdf]