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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.
Sofo, Anthony. "Summation of series via Laplace transforms.." Revista Matemática Complutense 15.2 (2002): 437-447. <http://eudml.org/doc/44371>.
@article{Sofo2002, abstract = {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.}, author = {Sofo, Anthony}, journal = {Revista Matemática Complutense}, keywords = {Series sumables; Ecuaciones en diferencias; Transformada de Laplace; Identidades combinatorias; Sucesión de Fibonacci; differential difference equation}, language = {eng}, number = {2}, pages = {437-447}, title = {Summation of series via Laplace transforms.}, url = {http://eudml.org/doc/44371}, volume = {15}, year = {2002}, }
TY - JOUR AU - Sofo, Anthony TI - Summation of series via Laplace transforms. JO - Revista Matemática Complutense PY - 2002 VL - 15 IS - 2 SP - 437 EP - 447 AB - 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. LA - eng KW - Series sumables; Ecuaciones en diferencias; Transformada de Laplace; Identidades combinatorias; Sucesión de Fibonacci; differential difference equation UR - http://eudml.org/doc/44371 ER -