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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=-45/8, b>=a > For fixed z and a=-45/8, b=47/8





http://functions.wolfram.com/07.23.03.b7bb.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, -(5/2), -z] == (1/(45632 (1 + z)^(19/8))) (-2 (-22816 + 253828 z - 2591755 z^2 + 54493164 z^3 + 1334856864 z^4 + 6274363392 z^5 + 11845402624 z^6 + 9916645376 z^7 + 3068133376 z^8) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (34224 - 385733 z + 3945029 z^2 + 1257791920 z^3 + 7502378752 z^4 + 15850520576 z^5 + 14203813888 z^6 + 4602200064 z^7) Sin[(3 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