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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=13/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 13/4, 6, z] == (1/(1267389585 Pi z^5)) (16384 (2 Sqrt[1 - z] (-22528 + 63712 z - 31185 z^2 - 26950 z^3 - 38885 z^4 + 177228 z^5 - 151552 z^6 + 40960 z^7) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-22528 + 80608 z - 77385 z^2 - 7315 z^3 - 18095 z^4 + 53643 z^5 - 40768 z^6 + 10240 z^7) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-22528 + 63712 z - 31185 z^2 - 26950 z^3 - 38885 z^4 + 177228 z^5 - 151552 z^6 + 40960 z^7) EllipticK[(1/2) (1 - 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