a. If f (t) = tm and g(t) = tn, where m and n are positive integers, show that f g =
Chapter 6, Problem 10(choose chapter or problem)
a. If f (t) = tm and g(t) = tn, where m and n are positive integers, show that f g = tm+n+1 _ 1 0 um(1 u)n du. b. Use the convolution theorem to show that _ 1 0 um(1 u)n du = m! n! (m + n + 1)! . c. Extend the result of part b to the case where m and n are positive numbers but not necessarily integers. 1
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