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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.by1w.01









  


  










Input Form





Hypergeometric2F1[1/8, 39/8, -(3/2), z] == (1/(11408 (1 - z)^(13/2))) (Sqrt[1 - z] (11408 - 73439 z + 231725 z^2 - 259441 z^3 + 182455 z^4 - 70356 z^5 + 11440 z^6) Cos[ArcSin[Sqrt[z]]/4] + Sqrt[z] (2852 - 19251 z + 342589 z^2 - 342589 z^3 + 216203 z^4 - 76076 z^5 + 11440 z^6) 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