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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=33/8, b>=a > For fixed z and a=33/8, b=37/8





http://functions.wolfram.com/07.23.03.cc1i.01









  


  








Input Form





Hypergeometric2F1[33/8, 37/8, -(11/2), -z] == (1/(4096 (1 + z)^(113/8))) ((4096 + 71936 z + 623712 z^2 + 3652149 z^3 + 17146545 z^4 + 78753389 z^5 + 630325761 z^6 - 2383329705 z^7 + 1465152699 z^8 - 193658617 z^9 + 2751283 z^10) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (512 + 8832 z + 75246 z^2 + 433707 z^3 + 2013596 z^4 + 9247537 z^5 - 826367874 z^6 + 1126629741 z^7 - 327537768 z^8 + 17121367 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