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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.btu5.01









  


  










Input Form





Hypergeometric2F1[-(7/8), 39/8, -(5/2), -z] == (1/(228160 (1 + z)^(13/2))) (-2 Sqrt[1 + z] (-114080 - 493396 z - 509795 z^2 + 1158625 z^3 + 2869243 z^4 + 2693691 z^5 + 1212640 z^6 + 217360 z^7) Cosh[ArcSinh[Sqrt[z]]/4] + Sqrt[z] (-57040 - 264523 z - 324415 z^2 + 4647669 z^3 + 8156187 z^4 + 6545682 z^5 + 2642640 z^6 + 434720 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