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





http://functions.wolfram.com/07.23.03.b591.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, -(1/2), -z] == (1/(252 Sqrt[1 + z])) (-4 Sqrt[1 + z] (-63 + 1386 z + 21199 z^2 + 75290 z^3 + 112564 z^4 + 76912 z^5 + 19872 z^6) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-63 + 28594 z + 195217 z^2 + 492800 z^3 + 594144 z^4 + 347392 z^5 + 79488 z^6) 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