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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=-39/8, b>=a > For fixed z and a=-39/8, b=45/8





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









  


  








Input Form





Hypergeometric2F1[-(39/8), 45/8, 11/2, -z] == (1024 (Sqrt[z] (319424 - 1032424 z + 3672663 z^2 - 18428198 z^3 + 9727544283 z^4 + 50707082448 z^5 + 104581585152 z^6 + 107267702784 z^7 + 54817652736 z^8 + 11176771584 z^9) Cos[ArcTan[Sqrt[z]]/4] - (1277696 - 3730416 z + 13295311 z^2 - 68728922 z^3 + 915648147 z^4 + 7885050492 z^5 + 19880391168 z^6 + 23036378112 z^7 + 12831227904 z^8 + 2794192896 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(9720340053765 z^(9/2) (1 + z)^(1/8))








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