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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





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









  


  








Input Form





Hypergeometric2F1[-(7/8), 37/8, -(9/2), -z] == (1/(9216 (1 + z)^(65/8))) (-4 (-2304 - 16576 z - 49175 z^2 - 73047 z^3 - 42224 z^4 + 42224 z^5 + 73047 z^6 + 49175 z^7 + 16576 z^8 + 2304 z^9) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (2304 + 15856 z + 44409 z^2 + 60372 z^3 + 26390 z^4 + 60372 z^5 + 44409 z^6 + 15856 z^7 + 2304 z^8) 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