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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=-17/4, b>=a > For fixed z and a=-17/4, b=21/4





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









  


  










Input Form





Hypergeometric2F1[-(17/4), 21/4, 5/2, -z] == (1/(2185 z^(3/2) Sqrt[-1 + Sqrt[1 + z]])) (2 Sqrt[2] (-2 + 86 z + 2230 z^2 + 11968 z^3 + 25184 z^4 + 23040 z^5 + 7680 z^6 - (-2 + 85 z + 1727 z^2 + 7992 z^3 + 14992 z^4 + 12480 z^5 + 3840 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