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Gamma function of positive integer?

Posted 2 years ago

Is it possible to write that
Gamma[n]=(n-1)! if n is a positive integer at Mathematica? Explicitly, when i execute the code

LaplaceTransform[t^n,t,s]

it produces
s^(-1-n)Gamma(n+1). But,when n is an integer i want Mathematica to produce
s^(-1-n).n!

Dear Friends, Thanks a lot. Have a good study.

POSTED BY: zekeriya Özkan
2 Replies

I am very thankful to you.

POSTED BY: zekeriya Özkan

Try:

FullSimplify[LaplaceTransform[t^n, t, s], Assumptions -> n \[Element] PositiveIntegers]
POSTED BY: Mariusz Iwaniuk
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