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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=-7/8, b>=a > For fixed z and a=-7/8, b=37/8





http://functions.wolfram.com/07.23.03.bts5.01









  


  










Input Form





Hypergeometric2F1[-(7/8), 37/8, -(5/2), -z] == (1/(9280 (1 + z)^(49/8))) (-2 (-4640 - 20764 z - 24505 z^2 + 37700 z^3 + 100259 z^4 + 95090 z^5 + 42880 z^6 + 7680 z^7) Cos[ArcTan[Sqrt[z]]/4] + Sqrt[z] (2320 + 9657 z + 9425 z^2 + 38647 z^3 + 41535 z^4 + 20240 z^5 + 3840 z^6) 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