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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 84ae
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 7.7 - Problem 84ae

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# Gamma function The gamma function is defined by , for p ISBN: 9780321570567 2

## Solution for problem 84AE Chapter 7.7

Calculus: Early Transcendentals | 1st Edition

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Problem 84AE

Gamma function 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 + 1) = p!(p factorial).________________b. Use the substitution x = u2 and the fact that to show .

Step-by-Step Solution:

SOLUTIONWe know that Step 1(a).we need to use the reduction formula to show that The reduction formula is given by This simply means that Using the same reduction formula we can write Thus on continuing this ,we can write ,where Therefore we have proved that

Step 2 of 2

##### ISBN: 9780321570567

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