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This is not a question, but just information I would like to share with mathematica users. I never knew this existed somehow, but it is amazingly useful :
http://functions.wolfram.com/
It is VERY detailed, and has all code fro nearly all functions and their definitions in mathematica form. For example, look at :
http://functions.wolfram.com/GammaBetaErf/PolyGamma/
you can find its representations in all manner of possibilities, like
http://functions.wolfram.com/GammaBetaErf/PolyGamma/06/02/
I found this when trying to find the series representations of hypergeometric functions expanded about different indices (need derivatives of pochammer, etc). This basically had everything I needed, and is not just an information source like wikipedia, but has copy-paste-able equations for Mathematica.
On the left you can also download a notebook for the entire function. I wish this was built into mathematica (maybe it is in the newest version?)
http://functions.wolfram.com/
It is VERY detailed, and has all code fro nearly all functions and their definitions in mathematica form. For example, look at :
http://functions.wolfram.com/GammaBetaErf/PolyGamma/
you can find its representations in all manner of possibilities, like
http://functions.wolfram.com/GammaBetaErf/PolyGamma/06/02/
I found this when trying to find the series representations of hypergeometric functions expanded about different indices (need derivatives of pochammer, etc). This basically had everything I needed, and is not just an information source like wikipedia, but has copy-paste-able equations for Mathematica.
On the left you can also download a notebook for the entire function. I wish this was built into mathematica (maybe it is in the newest version?)