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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=39/8





http://functions.wolfram.com/07.23.03.bao1.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 39/8, -(11/2), -z] == (1/(946176 (1 + z)^(11/2))) ((-Sqrt[1 + z]) (-946176 - 672000 z + 628320 z^2 - 797021 z^3 + 1296988 z^4 - 3154129 z^5 + 20546790 z^6 + 131937520 z^7 + 212417568 z^8 + 140126976 z^9 + 33707520 z^10) Cosh[ArcSinh[Sqrt[z]]/4] + 2 Sqrt[z] (-118272 - 120960 z + 67998 z^2 - 73081 z^3 + 120219 z^4 - 324423 z^5 + 33702295 z^6 + 111368576 z^7 + 139133808 z^8 + 78490368 z^9 + 16853760 z^10) 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