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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=15/4





http://functions.wolfram.com/07.23.03.9894.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, -(5/2), -z] == (1/(8 Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z/(2 + 2 z)] (-113152 z^6 + 4 (1 + Sqrt[1 + z]) + 3328 z^5 (-73 + 17 Sqrt[1 + z]) - z (33 + 35 Sqrt[1 + z]) + 2080 z^4 (-79 + 38 Sqrt[1 + z]) + 6 z^2 (41 + 44 Sqrt[1 + z]) + 16 z^3 (-2113 + 1651 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