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WHAT IS GAMMA FUNCTION AND HOW IT IS USEFUL IN PHYSICS? please explain gamma function.

WHAT IS GAMMA FUNCTION AND HOW IT IS USEFUL IN PHYSICS?


please explain gamma function.

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
148 Points
12 years ago

 Dear arauka

If n is a positive rational number ,then the improper integral

o e-x xn-1 dx  is define as Gamma Function and is denoted by n"

 

Γn = o e-x xn-1 dx     where x ε Q+

this is very special type of intigration you can directlt calculate these type of intigration by using gamma function.

for example you want to calculate

 o e-x x3 dx 

then according to gamma function

o e-x x3 dx =o e-x x4-1 dx

                         =Γ4=3! =6

where Γ(n+1) =n!

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