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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=-11/4, b>=a > For fixed z and a=-11/4, b=15/4





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









  


  










Input Form





Hypergeometric2F1[-(11/4), 15/4, 11/2, -z] == (1/(32045 z^(9/2) Sqrt[-1 + Sqrt[1 + z]])) (16 Sqrt[2] (112 + 188 z - 37 z^2 + 68 z^3 - 365 z^4 - 1154 z^5 - 1008 z^6 - 288 z^7 + (-112 - 244 z - 43 z^2 - 33 z^3 + 319 z^4 + 2353 z^5 + 3784 z^6 + 2448 z^7 + 576 z^8)/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