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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 8 and fixed z and a>0 > For fixed z and a=33/8, b>=a > For fixed z and a=33/8, b=47/8





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









  


  










Input Form





Hypergeometric2F1[33/8, 47/8, -(11/2), -z] == (1/(380928 (1 + z)^(31/2))) (Sqrt[1 + z] (380928 + 7404288 z + 71972576 z^2 + 480481183 z^3 + 2631546879 z^4 + 14576809429 z^5 + 148297484699 z^6 - 631684659409 z^7 + 478144252605 z^8 - 83896805193 z^9 + 1529832969 z^10 + 20814054 z^11) Cosh[ArcSinh[Sqrt[z]]/4] - 2 Sqrt[z] (47616 + 940416 z + 9279478 z^2 + 62752339 z^3 + 346586448 z^4 + 1917569108 z^5 + 615006037884 z^6 - 1302511086638 z^7 + 663614021760 z^8 - 82077341676 z^9 + 770119998 z^10 + 10407027 z^11) Sinh[ArcSinh[Sqrt[z]]/4])










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