Hello,
How does one interpret the subscript on a gamma function? For example, in the two parameter Gamma Cumulative Distribution Function:
What does the subscript mean in terms of how I should evaluate the gamma function.
Thanks
I believe that denotes the incomplete gamma function.
.
There is no closed form expression for this guy as a function of . If you fix and try to write as a function of you can sometimes do that, particularly if is a positive integer.
You can but it probably will not be so useful for whatever you are doing. To take derivative wrt you may interchange integration and differentiation. So
.
To take derivative wrt you can use (chain rule + fundamental theorem of calculus). You can't get rid of the integrals though.