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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=39/8





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









  


  








Input Form





Hypergeometric2F1[-(31/8), 39/8, -(5/2), -z] == (1/(320 (1 + z)^(7/2))) ((-Sqrt[1 + z]) (-320 + 1448 z - 7271 z^2 + 82841 z^3 + 797544 z^4 + 1789040 z^5 + 1564992 z^6 + 481536 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-80 + 337 z - 1694 z^2 + 336985 z^3 + 1526536 z^4 + 2511344 z^5 + 1805760 z^6 + 481536 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