id: 02359122
dt: j
an: 2004c.02615
au: Lesko, James P.; Smith, Wendy D.
ti: A Laplace transform technique for evaluating infinite series.
so: Math. Mag. 76, No. 5, 394-398 (2003).
py: 2003
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: I30
ut:
ci:
li:
ab: In this article we demonstrate how the Laplace transform can be used as a
tool to find closed form expressions for certain infinite series.
Sometimes the summand of a series can be realized as a Laplace
transform integral. If this is the case, and if the order of summation
and integration can be interchanged (with justification of course),
then the series can be written as an integral; if this integral can be
evaluated, then we have a closed form expression for the series. The
purpose of this article is to explain this technique, and to illustrate
with several examples.
rv: