Use the properties of the gamma function to evaluate the

Chapter 4, Problem 137E

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QUESTION:

Use the properties of the gamma function to evaluate the following:

(a) \(\Gamma(6)\)                (b) \(\Gamma(5 / 2)\)                (c) \(\Gamma(9 / 2)\)

Equation transcription:

Text transcription:

Gamma(6)

Gamma(5 / 2)

Gamma(9 / 2)

Questions & Answers

QUESTION:

Use the properties of the gamma function to evaluate the following:

(a) \(\Gamma(6)\)                (b) \(\Gamma(5 / 2)\)                (c) \(\Gamma(9 / 2)\)

Equation transcription:

Text transcription:

Gamma(6)

Gamma(5 / 2)

Gamma(9 / 2)

ANSWER:

Answer

Step 1 of 3

(a)

Use the properties of the gamma function to evaluate the following:

If  is a positive integer, then we can write,

Hence the value of  is


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