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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=1/8, b>=a > For fixed z and a=1/8, b=39/8





http://functions.wolfram.com/07.23.03.by1o.01









  


  








Input Form





Hypergeometric2F1[1/8, 39/8, -(7/2), z] == (1/(6388480 (1 - z)^(17/2))) (Sqrt[1 - z] (6388480 - 52419760 z + 190812347 z^2 - 410847712 z^3 + 658562450 z^4 - 445090724 z^5 + 208304187 z^6 - 57245188 z^7 + 6966960 z^8) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (1597120 - 13604040 z + 51586263 z^2 - 116002248 z^3 + 858375466 z^4 - 542522604 z^5 + 236055911 z^6 - 60728668 z^7 + 6966960 z^8) Sin[ArcSin[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