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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=-39/8, b>=a > For fixed z and a=-39/8, b=47/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 47/8, -(9/2), -z] == (1/(21504 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-21504 + 28672 z - 50460 z^2 + 119581 z^3 - 442046 z^4 + 4430173 z^5 + 42496388 z^6 + 105787440 z^7 + 118939392 z^8 + 64044288 z^9 + 13483008 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-5376 + 5488 z - 9661 z^2 + 24585 z^3 - 98659 z^4 + 17755595 z^5 + 83998772 z^6 + 158094288 z^7 + 149276160 z^8 + 70785792 z^9 + 13483008 z^10) 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