Question: The gamma function is defined by for p not equal to zero or a negative integer. a. Use the reduction formula to show that (p

The gamma function is defined by Гр) %3D Jохр- Те dx, xP-le* dx, for p not equal to zero or a negative integer.

a. Use the reduction formula

= p | xP-\e* dx, for p = 1, 2, 3, . . xPe¯* dx =

to show that ) %3D J- dx, xP-le* dx, = p | xP-\e* dx, for(p factorial).

b. Use the substitution x = u2 and the fact that p = 1, 2, 3, . . xPe* dx =to show that

) %3D J- dx, xP-le* dx, = p | xP-\e* dx, for p = 1, 2, 3, . . xPe* dx =

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