Karen T. Kohl, Flavia Iulia Stan,
"An Algorithmic Approach to the Mellin Transform Method"
, Serie DK Report Series, Nummer 2009-03, DK, JKU Linz, JKU Linz, Altenberger Straße 69, 4040 Linz, 11-2009
Original Titel:
An Algorithmic Approach to the Mellin Transform Method
Sprache des Titels:
Englisch
Original Kurzfassung:
We present proofs for typical entries from the Gradshteyn-Ryzhik Table of Integrals using the Mellin transform method and computer algebra algorithms based on WZ theory. After representing an identity from the Table in terms of multiple contour integrals of Barnes' type and nested sums, we use Wegschaider's summation algorithm to find recurrences satisfied by both sides of this identity and check finitely many initial values.