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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=-23/8, b>=a > For fixed z and a=-23/8, b=31/8





http://functions.wolfram.com/07.23.03.bkf5.01









  


  








Input Form





Hypergeometric2F1[-(23/8), 31/8, -(11/2), -z] == (1/(135168 (1 + z)^(13/2))) ((-Sqrt[1 + z]) (-135168 - 541440 z - 678240 z^2 - 144703 z^3 + 106119 z^4 - 136877 z^5 + 399685 z^6 + 1046760 z^7 + 739024 z^8 + 173888 z^9) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-33792 - 145920 z - 207372 z^2 - 73801 z^3 + 29029 z^4 - 28483 z^5 + 841555 z^6 + 1394536 z^7 + 825968 z^8 + 173888 z^9) 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