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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=-37/8, b>=a > For fixed z and a=-37/8, b=29/8





http://functions.wolfram.com/07.23.03.bc04.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, -(7/2), z] == (1/(8960 (1 - z)^(5/2))) ((-Sqrt[1 - z]) (-8960 - 22480 z - 59283 z^2 - 206073 z^3 - 1670760 z^4 + 13975632 z^5 - 21460800 z^6 + 9465600 z^7) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (6720 + 15880 z + 41391 z^2 + 146097 z^3 + 6567576 z^4 - 23522832 z^5 + 26193600 z^6 - 9465600 z^7) Sin[(3 ArcSin[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