We consider a forced differential difference equation and by the use of Laplace Transform Theory generate non-hypergeometric type series which we prove may be expressed in closed form.
@article{urn:eudml:doc:44371,
title = {Summation of series via Laplace transforms.},
journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
volume = {15},
year = {2002},
pages = {437-447},
zbl = {1018.40002},
mrnumber = {MR1951820},
language = {en},
url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44371}
}
Sofo, Anthony. Summation of series via Laplace transforms.. Revista Matemática de la Universidad Complutense de Madrid, Tome 15 (2002) pp. 437-447. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44371/