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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=-5/4, b>=a > For fixed z and a=-5/4, b=17/4





http://functions.wolfram.com/07.23.03.ag92.01









  


  








Input Form





Hypergeometric2F1[-(5/4), 17/4, 11/2, -z] == (1/(62491 z^(9/2) Sqrt[-1 + Sqrt[1 + z]])) (16 Sqrt[2] (-560 - 300 z + 157 z^2 - 221 z^3 + 870 z^4 + 3472 z^5 + 2016 z^6 + (560 + 580 z - 77 z^2 + 140 z^3 - 743 z^4 - 1988 z^5 - 1008 z^6)/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