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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=-47/8, b>=a > For fixed z and a=-47/8, b=15/8





http://functions.wolfram.com/07.23.03.b59d.01









  


  








Input Form





Hypergeometric2F1[-(47/8), 15/8, 9/2, z] == (1/(27177092415 z^(7/2))) (256 (Sqrt[z] (536176 - 3183545 z + 5227716 z^2 + 117356202 z^3 - 307336652 z^4 + 410249191 z^5 - 330843040 z^6 + 163127008 z^7 - 45531904 z^8 + 5537664 z^9) Cos[ArcSin[Sqrt[z]]/4] + (1/Sqrt[1 - z]) (8 (-268088 + 1776083 z - 3686210 z^2 - 3920787 z^3 + 29397546 z^4 - 59959267 z^5 + 69738658 z^6 - 50882645 z^7 + 23150094 z^8 - 6037592 z^9 + 692208 z^10) Sin[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