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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=23/4





http://functions.wolfram.com/07.23.03.a7v3.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, 11/2, z] == (1/(534734915 z^(9/2))) (16 ((1 + Sqrt[z])^(11/2) (2576 - 14168 Sqrt[z] + 55476 z - 166980 z^(3/2) + 452433 z^2 - 1102068 z^(5/2) + 2644356 z^3 - 6078072 z^(7/2) + 16576560 z^4 - 28664064 z^(9/2) - 28005120 z^5 + 216912384 z^(11/2) - 393938688 z^6 + 349639680 z^(13/2) - 156828672 z^7 + 28514304 z^(15/2)) + (1 - Sqrt[z])^(11/2) (-2576 - 14168 Sqrt[z] - 55476 z - 166980 z^(3/2) - 452433 z^2 - 1102068 z^(5/2) - 2644356 z^3 - 6078072 z^(7/2) - 16576560 z^4 - 28664064 z^(9/2) + 28005120 z^5 + 216912384 z^(11/2) + 393938688 z^6 + 349639680 z^(13/2) + 156828672 z^7 + 28514304 z^(15/2))))








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