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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.ae2i.01









  


  








Input Form





Hypergeometric2F1[-(9/4), -(7/4), 11/2, -z] == (16 Sqrt[2] (-112 - 1364 z - 8315 z^2 - 37533 z^3 - 227094 z^4 + 773882 z^5 - 266431 z^6 + 7735 z^7 + (112 + 1420 z + 8983 z^2 + 41527 z^3 + 244902 z^4 - 166582 z^5 - 316605 z^6 + 61027 z^7)/Sqrt[1 + z]))/ (15935205 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