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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.a7qu.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 19/4, 3/2, z] == (1/(8925 Sqrt[z])) ((1 + Sqrt[z])^(5/2) (437 + 3370 Sqrt[z] - 32460 z - 6560 z^(3/2) + 289520 z^2 - 257376 z^(5/2) - 654080 z^3 + 957440 z^(7/2) + 195840 z^4 - 826880 z^(9/2) + 330752 z^5) - (1 - Sqrt[z])^(5/2) (437 - 3370 Sqrt[z] - 32460 z + 6560 z^(3/2) + 289520 z^2 + 257376 z^(5/2) - 654080 z^3 - 957440 z^(7/2) + 195840 z^4 + 826880 z^(9/2) + 330752 z^5))








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