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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=19/4





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









  


  










Input Form





Hypergeometric2F1[-(11/4), 19/4, -(9/2), -z] == (1/(1440 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] ((720 + 2140 z + 1025 z^2 - 1011 z^3 + 1375 z^4 + 14159 z^5 + 20376 z^6 + 11760 z^7 + 2496 z^8)/(1 + z)^6 + (1/(1 + z)^(13/2)) (720 + 2500 z + 2005 z^2 - 721 z^3 + 847 z^4 - 22079 z^5 - 57568 z^6 - 58080 z^7 - 27264 z^8 - 4992 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