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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=-7/8, b>=a > For fixed z and a=-7/8, b=39/8





http://functions.wolfram.com/07.23.03.btu1.01









  


  








Input Form





Hypergeometric2F1[-(7/8), 39/8, -(7/2), -z] == (1/(912640 (1 + z)^(15/2))) ((-Sqrt[1 + z]) (-912640 - 5304720 z - 11371637 z^2 - 7461545 z^3 + 14598675 z^4 + 28000141 z^5 + 21712262 z^6 + 8339760 z^7 + 1304160 z^8) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-114080 - 698740 z - 1613519 z^2 - 1297660 z^3 + 13177502 z^4 + 18947656 z^5 + 12859561 z^6 + 4495920 z^7 + 652080 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