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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=7/8





http://functions.wolfram.com/07.23.03.bbo2.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 7/8, 11/2, -z] == (1024 (2 Sqrt[z] (24864 + 233692 z + 990601 z^2 + 2531022 z^3 + 7181486 z^4 + 5537948 z^5 + 3287169 z^6 + 1300498 z^7 + 305536 z^8 + 32256 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] - (66304 + 632848 z + 2730267 z^2 + 7114841 z^3 + 13755638 z^4 + 7682298 z^5 + 4669951 z^6 + 1886557 z^7 + 451248 z^8 + 48384 z^9) Sin[(3 ArcTan[Sqrt[z]])/4]))/(4838528695 z^(9/2) (1 + z)^(3/8))








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