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/