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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=15/8





http://functions.wolfram.com/07.23.03.ba9p.01









  


  










Input Form





Hypergeometric2F1[-(39/8), 15/8, 7/2, -z] == (1/(567879543 z^(5/2) Sqrt[1 + z])) (64 (Sqrt[z] Sqrt[1 + z] (-111228 - 324415 z + 9735859 z^2 + 27329387 z^3 + 35728957 z^4 + 25578520 z^5 + 9714320 z^6 + 1538240 z^7) Cosh[ArcSinh[Sqrt[z]]/4] - (-444912 - 1603537 z + 2595320 z^2 + 20195686 z^3 + 42543608 z^4 + 47400067 z^5 + 30243400 z^6 + 10483440 z^7 + 1538240 z^8) 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