Can someone explain and/or give a reference for deriving the Green's function in spherical coordinates?
Answer:
To get the complete forms you'll get heavily into the mathematics, and from your request, it seems that you are more concerned with EM applications.
Therefore, try "Green's Functions with Applications" by Dean Duffy. Chapter 4 may not be very helpful (deals with the heat equation), but chapters 3 and 5 should answer nicely.
Try "Classical Electrodynamics" by J.D. Jackson (2nd or 3rd edition), Wiley
Best place to find a really good source for leaning all about greens functions is the book "Green's Functions for scientists and Engineers" by Greenberg.
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