Recent content by Mathjunkie

As you have written: "If you only meant the definition should be clearly stated, that is fine." which is exactly what I meant. And the reason that I meant it, is because the usual definition is not always clearly understood - otherwise we would not be having this discussion because the question...

Reply to lurflurf: In the following n is an integer, x is a continuous variable (complex if you want). That is exactly the point, and it is a very important one that comes up many places - quantum field theory being a prime example. The business of generalizing a function over a new...

The factorial notation only defined for positive interger arguments. It is a special case of the Gamma function and is only defined for positive integers where the two coincide. So, as someone else has replied (-1/2)! is meaningless on its own, so don't try to understand it as an infinite...

Hi: Does anyone know of an explicit formula for the Real and Imaginary parts of GAMMA(1/2+I*y) as functions of y ? I know about |GAMMA(1/2+I*y)|^2 =Re(GAMMA(1/2+I*y))^2+Im(GAMMA(1/2+I*y))^2= Pi/cosh(Pi*y) but can't find anything about each of the Real and Imaginary terms...