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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 4 and fixed z > For fixed z and a=-23/4, b>=a > For fixed z and a=-23/4, b=19/4





http://functions.wolfram.com/07.23.03.a7r5.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 7/2, -z] == -((4 Sqrt[2] (-12899328 z^9 + 1748 (-1 + Sqrt[1 + z]) + 169728 z^8 (-427 + 38 Sqrt[1 + z]) - 437 z (-47 + 49 Sqrt[1 + z]) + 2185 z^2 (-227 + 232 Sqrt[1 + z]) + 49920 z^7 (-3394 + 629 Sqrt[1 + z]) + 624 z^6 (-339013 + 98666 Sqrt[1 + z]) + 99 z^4 (-589919 + 322350 Sqrt[1 + z]) + 132 z^5 (-1135423 + 464828 Sqrt[1 + z]) + z^3 (-10734587 + 7702443 Sqrt[1 + z])))/(22207185 z^(5/2) Sqrt[1 + z] Sqrt[-1 + Sqrt[1 + z]]))








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