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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=15/8





http://functions.wolfram.com/07.23.03.b6rd.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 15/8, -(5/2), -z] == (1/(1088 (1 + z)^(3/8))) (-2 (-544 + 2244 z - 9945 z^2 + 94248 z^3 + 1195200 z^4 + 2264064 z^5 + 1171456 z^6) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (816 - 3485 z + 15453 z^2 + 1393632 z^3 + 3139840 z^4 + 1757184 z^5) 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