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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=11/8, b>=a > For fixed z and a=11/8, b=39/8





http://functions.wolfram.com/07.23.03.c3q7.01









  


  








Input Form





Hypergeometric2F1[11/8, 39/8, -(3/2), -z] == (1/(496 (1 + z)^(59/8))) ((496 + 5735 z + 57381 z^2 - 80003 z^3 - 14393 z^4 - 2952 z^5 - 320 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (372 + 4247 z - 107963 z^2 + 10485 z^3 + 2179 z^4 + 240 z^5) Sin[(3 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