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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=25/8, b>=a > For fixed z and a=25/8, b=45/8





http://functions.wolfram.com/07.23.03.c9xa.01









  


  








Input Form





Hypergeometric2F1[25/8, 45/8, -(1/2), -z] == (1/(148 (1 + z)^(73/8))) ((148 + 6549 z - 80796 z^2 + 108150 z^3 - 16704 z^4 - 899 z^5 - 48 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (37 - 32904 z + 118278 z^2 - 59772 z^3 + 221 z^4 + 12 z^5) Sin[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