[Mathematica/Math] : functions.wolfram.com

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SUMMARY

The discussion highlights the utility of the Wolfram Functions site (http://functions.wolfram.com/) for Mathematica users, providing detailed information and code for nearly all functions in Mathematica. Users can access comprehensive representations of functions, such as the PolyGamma function, and download entire notebooks for easy integration. This resource is particularly beneficial for those seeking series representations of hypergeometric functions and related derivatives. The community expresses a desire for this functionality to be integrated directly into Mathematica, potentially in future versions.

PREREQUISITES
  • Familiarity with Mathematica software
  • Understanding of hypergeometric functions
  • Knowledge of series representations in mathematical analysis
  • Basic proficiency in using online mathematical resources
NEXT STEPS
  • Explore the Wolfram Functions site for additional function representations
  • Learn how to use Mathematica notebooks for function analysis
  • Research series expansions of hypergeometric functions in Mathematica
  • Investigate the latest features in the newest version of Mathematica
USEFUL FOR

Mathematica users, mathematicians, researchers in mathematical analysis, and anyone interested in advanced function representations and computational tools.

Hepth
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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?)
 
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