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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=5/8





http://functions.wolfram.com/07.23.03.ba3y.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 5/8, 11/2, -z] == (1024 (2 Sqrt[z] (2912 + 29588 z + 139269 z^2 + 418626 z^3 + 5587334 z^4 + 2968764 z^5 + 1474861 z^6 + 516102 z^7 + 110208 z^8 + 10752 z^9) Cos[ArcTan[Sqrt[z]]/4] - (23296 + 243984 z + 1186211 z^2 + 3678753 z^3 + 10276422 z^4 + 1293962 z^5 + 666023 z^6 + 241797 z^7 + 53424 z^8 + 5376 z^9) Sin[ArcTan[Sqrt[z]]/4]))/(9059030805 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