I want to know how to carry out first derivitative of a delta function with parameter is complex. For example, [tex]\delta(z)[/tex], where [tex]z=x+iy[/tex]
how to carray out [tex]\frac{d\delta(z)}{dz^*}[/tex] where [tex]z^*[/tex] mean the conjugate of z
If it's at all possible to generalize this to the case you want, you should start with a method like this. I haven't run into a complex delta function, though, so I don't know if such as thing is well defined, let alone it's derivative (and especially its derivative with respect to the complex congugate).
This book seems to discuss the complex delta function:
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