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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=23/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 23/8, -(7/2), z] == (1/(8960 (1 - z)^(3/2))) (Sqrt[1 - z] (8960 + 26640 z + 70939 z^2 + 225280 z^3 + 1504800 z^4 - 7383552 z^5 + 5537664 z^6) Cos[ArcSin[Sqrt[z]]/4] + 4 Sqrt[z] (560 + 1490 z + 3839 z^2 + 12430 z^3 + 1126092 z^4 - 2538096 z^5 + 1384416 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