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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=9/8, b>=a > For fixed z and a=9/8, b=29/8





http://functions.wolfram.com/07.23.03.c2g0.01









  


  








Input Form





Hypergeometric2F1[9/8, 29/8, -(11/2), -z] == (1/(315392 (1 + z)^(81/8))) ((315392 + 3417344 z + 17092320 z^2 + 52805233 z^3 + 115484291 z^4 + 205066082 z^5 + 465883054 z^6 - 189658115 z^7 - 14387857 z^8 - 909904 z^9) Cos[ArcTan[Sqrt[z]]/4] + 2 Sqrt[z] (39424 + 414848 z + 2010134 z^2 + 6004843 z^3 + 12707370 z^4 + 22079954 z^5 - 241441362 z^6 + 1762939 z^7 + 113738 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