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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=-31/8, b>=a > For fixed z and a=-31/8, b=-17/8





http://functions.wolfram.com/07.23.03.beu0.01









  


  










Input Form





Hypergeometric2F1[-(31/8), -(17/8), 9/2, -z] == -((256 (Sqrt[z] Sqrt[1 + z] (-11408 - 187519 z - 1831697 z^2 - 803958980 z^3 + 1545466974 z^4 - 491878743 z^5 + 9582963 z^6 + 251082 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + 2 (22816 + 390724 z + 3919361 z^2 + 50266500 z^3 - 154778735 z^4 - 94976796 z^5 + 101788275 z^6 - 4854252 z^7 - 125541 z^8) Sinh[ArcSinh[Sqrt[z]]/4]))/(199697943159 z^(7/2) 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