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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=-1/4





http://functions.wolfram.com/07.23.03.9416.01









  


  








Input Form





Hypergeometric2F1[-(23/4), -(1/4), -(7/2), z] == (1/1120) ((1 - Sqrt[z])^(5/2) (560 + 1400 Sqrt[z] + 2220 z + 3100 z^(3/2) + 3883 z^2 + 4650 z^(5/2) + 5180 z^3 + 5600 z^(7/2) + 5040 z^4 + 2016 z^(9/2)) - Sqrt[1 + Sqrt[z]] (-560 + 280 Sqrt[z] + 20 z + 60 z^(3/2) + 97 z^2 - 16 z^(5/2) + 237 z^3 - 110 z^(7/2) + 980 z^4 - 2464 z^(9/2) - 1008 z^5 + 2016 z^(11/2)))








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