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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=-1/4





http://functions.wolfram.com/07.23.03.ad5f.01









  


  










Input Form





Hypergeometric2F1[-(11/4), -(1/4), 6, -z] == (1/(280093098285 Pi z^5)) (16384 (1 + z)^(1/4) (-2 (22528 + 224928 z + 1054977 z^2 + 3228918 z^3 + 8575182 z^4 - 35488944 z^5 + 275145 z^6 + 19890 z^7) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] + (22528 + 224928 z + 1054977 z^2 + 3228918 z^3 + 8575182 z^4 - 35488944 z^5 + 275145 z^6 + 19890 z^7) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] - Sqrt[1 + z] (-22528 - 208032 z - 901593 z^2 - 2576112 z^3 - 6740118 z^4 + 6086340 z^5 + 520455 z^6 + 39780 z^7) EllipticK[1/2 - 1/(2 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