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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=17/4





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









  


  










Input Form





Hypergeometric2F1[-(9/4), 17/4, -(11/2), -z] == (1/(704 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((1/(1 + z)^(15/2)) (2 (176 + 992 z + 2101 z^2 + 1819 z^3 + 182 z^4 - 182 z^5 - 1819 z^6 - 2101 z^7 - 992 z^8 - 176 z^9)) + (1/(1 + z)^7) (352 + 1808 z + 3342 z^2 + 2171 z^3 - 403 z^4 - 39 z^5 + 5809 z^6 + 7544 z^7 + 3792 z^8 + 704 z^9)))










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