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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=-39/8, b>=a > For fixed z and a=-39/8, b=45/8





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









  


  










Input Form





Hypergeometric2F1[-(39/8), 45/8, -(5/2), -z] == (1/(68672 (1 + z)^(25/8))) ((-(-68672 + 540792 z - 4338139 z^2 + 76621857 z^3 + 1070894448 z^4 + 3720088320 z^5 + 5575065600 z^6 + 3860398080 z^7 + 1016070144 z^8)) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (17168 - 140563 z + 1129869 z^2 + 131518452 z^3 + 636320256 z^4 + 1137816576 z^5 + 885719040 z^6 + 254017536 z^7) 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