Prove the series result - exponential series
$$\left( \sum_{k=0}^\infty {u^k\over k!} \right) \left( \sum_{l=0}^\infty {v^l\over l!} \right)
= \sum_{m=0}^\infty {(u+v)^m\over m!} $$
where $u,v\in C$.
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Thursday, 16 February 2006
Prove the series result - exponential series $$\left( \sum_{k=0}^\infty {u^k\over k!} \right) \left( \sum_{l=0}^\infty {v^l\over l!} \right) = \sum_{m=0}^\infty {(u+v)^m\over m!} $$ where $u,v\in C$.
Prove the series result - exponential series
$$\left( \sum_{k=0}^\infty {u^k\over k!} \right) \left( \sum_{l=0}^\infty {v^l\over l!} \right)
= \sum_{m=0}^\infty {(u+v)^m\over m!} $$
where $u,v\in C$.
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