I believe that denotes the incomplete gamma function.
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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.
I believe that denotes the incomplete gamma function.
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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
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To take derivative wrt you can use (chain rule + fundamental theorem of calculus). You can't get rid of the integrals though.