The gamma function can be seen as a solution to the interpolation problem of finding a smooth curve that connects the points of the factorial sequence: for all positive integer values of . The simple formula for the factorial, is only valid when is a positive integer, and no elementary function has this property, but a good solution is the gamma function .
The gamma function can be seen as a solution to the interpolation problem of finding a smooth curve that connects the points of the factorial sequence for all positive integer values of  The simple formula for the factorial is only valid when is a positive integer and no elementary function has this property but a good solution is the gamma function 