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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=11/4





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









  


  










Input Form





Hypergeometric2F1[-(11/4), 11/4, 6, z] == (16384 ((22528 + 22528 Sqrt[z] - 93984 z - 93984 z^(3/2) + 122001 z^2 + 122001 z^(5/2) - 15675 z^3 - 15675 z^(7/2) - 27225 z^4 - 27225 z^(9/2) + 69615 z^5 + 69615 z^(11/2) - 47100 z^6 - 47100 z^(13/2) + 10800 z^7 + 10800 z^(15/2)) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] - (22528 - 99616 z + 143913 z^2 - 40425 z^3 - 28875 z^4 - 79875 z^5 + 160350 z^6 - 99600 z^7 + 21600 z^8) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(1267389585 Pi Sqrt[1 + Sqrt[z]] z^5)










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