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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=-7/4, b>=a > For fixed z and a=-7/4, b=23/4





http://functions.wolfram.com/07.23.03.afh2.01









  


  








Input Form





Hypergeometric2F1[-(7/4), 23/4, -(1/2), -z] == (Sqrt[z] (-54912 z^6 + 209 (1 + Sqrt[1 + z]) + 2112 z^5 (-122 + 13 Sqrt[1 + z]) + 240 z^4 (-1992 + 451 Sqrt[1 + z]) + 8 z^3 (-54506 + 19947 Sqrt[1 + z]) + z (-32298 + 25610 Sqrt[1 + z]) + z^2 (-193339 + 104249 Sqrt[1 + z])))/(418 Sqrt[2] (1 + z)^(9/2) Sqrt[-1 + 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