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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=-47/8, b>=a > For fixed z and a=-47/8, b=29/8





http://functions.wolfram.com/07.23.03.b5hj.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 29/8, 7/2, -z] == (64 (2 Sqrt[z] (67022 - 435643 z + 303946674 z^2 + 1922705389 z^3 + 4994994690 z^4 + 6868599936 z^5 + 5286775296 z^6 + 2162688000 z^7 + 367656960 z^8) Cos[ArcTan[Sqrt[z]]/4] - (536176 - 3317589 z + 52444715 z^2 + 557454533 z^3 + 1782193173 z^4 + 2779701408 z^5 + 2338499328 z^6 + 1023897600 z^7 + 183828480 z^8) Sin[ArcTan[Sqrt[z]]/4]))/(38047929381 z^(5/2) (1 + z)^(1/8))








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