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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.a7r4.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 7/2, z] == (1/(22207185 z^(5/2))) (4 ((1 + Sqrt[z])^(9/2) (1748 - 7866 Sqrt[z] + 43263 z - 144210 z^(3/2) + 865260 z^2 - 247104 z^(5/2) - 13885872 z^3 + 37436256 z^(7/2) - 18120960 z^4 - 56010240 z^(9/2) + 95217408 z^5 - 58046976 z^(11/2) + 12899328 z^6) - (1 - Sqrt[z])^(9/2) (1748 + 7866 Sqrt[z] + 43263 z + 144210 z^(3/2) + 865260 z^2 + 247104 z^(5/2) - 13885872 z^3 - 37436256 z^(7/2) - 18120960 z^4 + 56010240 z^(9/2) + 95217408 z^5 + 58046976 z^(11/2) + 12899328 z^6)))








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