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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=1/8, b>=a > For fixed z and a=1/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 37/8, -(7/2), -z] == (1/(1792 (1 + z)^(65/8))) ((1792 + 14800 z + 54223 z^2 + 117260 z^3 + 184730 z^4 + 117260 z^5 + 54223 z^6 + 14800 z^7 + 1792 z^8) Cos[ArcTan[Sqrt[z]]/4] - 8 Sqrt[z] (-56 - 445 z - 1560 z^2 - 3211 z^3 + 3211 z^4 + 1560 z^5 + 445 z^6 + 56 z^7) 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