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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=13/8, b>=a > For fixed z and a=13/8, b=17/8





http://functions.wolfram.com/07.23.03.c49t.01









  


  










Input Form





Hypergeometric2F1[13/8, 17/8, -(3/2), -z] == (1/(48 (1 + z)^(37/8))) ((48 + 295 z + 1590 z^2 - 425 z^3) Cos[(5 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (15 + 95 z - 362 z^2) Sin[(5 ArcTan[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