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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=31/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 31/8, -(7/2), z] == -((1/(206080 (1 - z)^(15/2))) (Sqrt[1 - z] (-206080 + 1477520 z - 4602461 z^2 + 8245983 z^3 - 10621975 z^4 + 5406557 z^5 - 1688960 z^6 + 232232 z^7) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (-12880 + 96370 z - 314801 z^2 + 593998 z^3 - 3282162 z^4 + 1555502 z^5 - 451269 z^6 + 58058 z^7) 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