Gamma Function
Recommended Books on Amazon (affiliate links) | ||
---|---|---|
![]() |
![]() |
![]() |
Topics You Need To Understand For This Page |
---|
Related Topics and Links |
Equations
\[ \Gamma(t) = \int_0^{\infty}{ x^{t-1}e^{-x}~dx } \]
The gamma function is related to factorials by the fact that for positive integers, the property \( \Gamma(n) = (n-1)! \) holds.
Here is a video clip discussing the properties of the gamma function.  
This clip is within the context of Laplace Transforms but you do not need to understand Laplace Transforms in order to understand what he is talking about.
video by Trefor Bazett |
---|
Applications
We can use the gamma function to find this Laplace Transform.
Calculate \( \mathcal{L}\{ t^n \} \) using the gamma function.
Problem Statement |
---|
Calculate \( \mathcal{L}\{ t^n \} \) using the gamma function.
Final Answer |
---|
\( \mathcal{L}\{ t^n \} \) \( = \dfrac{n!}{s^{n+1}} \)
Problem Statement
Calculate \( \mathcal{L}\{ t^n \} \) using the gamma function.
Solution
video by Trefor Bazett |
---|
Final Answer
\( \mathcal{L}\{ t^n \} \) \( = \dfrac{n!}{s^{n+1}} \)
Log in to rate this practice problem and to see it's current rating. |
---|
Really UNDERSTAND Calculus
Log in to rate this page and to see it's current rating.
To bookmark this page and practice problems, log in to your account or set up a free account.
Do you have a practice problem number but do not know on which page it is found? If so, enter the number below and click 'page' to go to the page on which it is found or click 'practice' to be taken to the practice problem.
| |
I recently started a Patreon account to help defray the expenses associated with this site. To keep this site free, please consider supporting me. |
---|
Support 17Calculus on Patreon |
|
---|