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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=-23/4, b>=a > For fixed z and a=-23/4, b=23/4





http://functions.wolfram.com/07.23.03.a7tx.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 23/4, -(11/2), -z] == (1/(4928 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((1/(1 + z)^5) (-2464 + 2800 z - 3794 z^2 + 6329 z^3 - 14080 z^4 + 48921 z^5 + 2898740 z^6 + 9380592 z^7 + 12050688 z^8 + 7072000 z^9 + 1584128 z^10)) + (1/(1 + z)^(11/2)) (2 (1232 - 784 z + 1043 z^2 - 1964 z^3 + 5085 z^4 - 20338 z^5 + 1896806 z^6 + 9371076 z^7 + 18026112 z^8 + 17255680 z^9 + 8260096 z^10 + 1584128 z^11))))








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