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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=-15/8, b>=a > For fixed z and a=-15/8, b=47/8





http://functions.wolfram.com/07.23.03.bpi9.01









  


  










Input Form





Hypergeometric2F1[-(15/8), 47/8, 11/2, -z] == (1/(4248325653 z^(9/2) Sqrt[1 + z])) (1024 (4 Sqrt[z] Sqrt[1 + z] (560 - 1490 z + 3839 z^2 - 12430 z^3 + 1126092 z^4 + 2538096 z^5 + 1384416 z^6) Cosh[ArcSinh[Sqrt[z]]/4] - (8960 - 17680 z + 44299 z^2 - 154341 z^3 + 1279520 z^4 + 8888352 z^5 + 12921216 z^6 + 5537664 z^7) 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