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variants of this functions
Hypergeometric2F1






Mathematica Notation

Traditional Notation









Hypergeometric Functions > Hypergeometric2F1[a,b,c,z] > Specific values > For rational parameters with denominators 4 and fixed z > For fixed z and a=-17/4, b>=a > For fixed z and a=-17/4, b=9/4





http://functions.wolfram.com/07.23.03.aao7.01









  


  










Input Form





Hypergeometric2F1[-(17/4), 9/4, 9/2, -z] == (8 Sqrt[2] (-1768 - 7072 z - 4641 z^2 + 10829 z^3 + 61437 z^4 + 96575 z^5 + 75432 z^6 + 30128 z^7 + 4928 z^8 - (1/Sqrt[1 + z]) (2 (-884 - 3978 z - 3978 z^2 + 4641 z^3 + 19559 z^4 + 28013 z^5 + 20587 z^6 + 7840 z^7 + 1232 z^8))))/ (447051 z^(7/2) Sqrt[-1 + Sqrt[1 + z]])










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02