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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=-15/8, b>=a > For fixed z and a=-15/8, b=37/8





http://functions.wolfram.com/07.23.03.bp9d.01









  


  








Input Form





Hypergeometric2F1[-(15/8), 37/8, -(11/2), -z] == (1/(45056 (1 + z)^(65/8))) ((45056 + 293632 z + 757536 z^2 + 906639 z^3 + 348348 z^4 - 153062 z^5 + 348348 z^6 + 906639 z^7 + 757536 z^8 + 293632 z^9 + 45056 z^10) Cos[ArcTan[Sqrt[z]]/4] - 4 Sqrt[z] (-2816 - 17472 z - 42117 z^2 - 44817 z^3 - 10556 z^4 + 10556 z^5 + 44817 z^6 + 42117 z^7 + 17472 z^8 + 2816 z^9) 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