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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=-9/4, b>=a > For fixed z and a=-9/4, b=-7/4





http://functions.wolfram.com/07.23.03.ae2a.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(7/4), 7/2, -z] == (4 Sqrt[2] (z (169 - 163 Sqrt[1 + z]) - 12 (-1 + Sqrt[1 + z]) + z^5 (1457 + 221 Sqrt[1 + z]) - 4 z^2 (-517 + 497 Sqrt[1 + z]) - 8 z^4 (559 + 685 Sqrt[1 + z]) + 14 z^3 (-287 + 769 Sqrt[1 + z])))/ (46189 z^(5/2) Sqrt[1 + z] 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