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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.bbzx.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 29/8, -(11/2), z] == (1/(405504 (1 - z)^(9/2))) (Sqrt[1 - z] (405504 - 499968 z - 132832 z^2 - 104981 z^3 - 117126 z^4 - 196029 z^5 - 875160 z^6 + 5084496 z^7 - 5663040 z^8 + 1893120 z^9) Cos[(3 ArcSin[Sqrt[z]])/4] + Sqrt[z] (304128 - 419328 z - 72660 z^2 - 49805 z^3 - 58050 z^4 - 114021 z^5 - 2827848 z^6 + 7679376 z^7 - 6609600 z^8 + 1893120 z^9) 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