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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=3/4





http://functions.wolfram.com/07.23.03.9510.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 3/4, -(7/2), -z] == (1/(560 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (44352 z^6 + 280 (1 + Sqrt[1 + z]) - 20 z (12 + 19 Sqrt[1 + z]) - 1008 z^5 (-85 + 22 Sqrt[1 + z]) - 56 z^4 (-703 + 468 Sqrt[1 + z]) + z^2 (407 + 632 Sqrt[1 + z]) - z^3 (1033 + 1414 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