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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=9/8, b>=a > For fixed z and a=9/8, b=13/8





http://functions.wolfram.com/07.23.03.c24r.01









  


  








Input Form





Hypergeometric2F1[9/8, 13/8, -(9/2), -z] == (1/(1024 (1 + z)^(57/8))) ((1024 + 7680 z + 25420 z^2 + 49455 z^3 + 66125 z^4 + 92205 z^5 - 13949 z^6) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (256 + 1840 z + 5801 z^2 + 10691 z^3 + 13595 z^4 - 63599 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