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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=21/4





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









  


  








Input Form





Hypergeometric2F1[-(11/4), 21/4, 5, z] == (1/(15058768725 Pi z^4)) (4096 (4 Sqrt[1 - z] (-4928 - 16632 z - 54747 z^2 - 263648 z^3 + 5333760 z^4 - 9584640 z^5 + 4587520 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-9856 - 25872 z - 83853 z^2 - 442519 z^3 + 3719040 z^4 - 5437440 z^5 + 2293760 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 2 Sqrt[1 - z] (-4928 - 16632 z - 54747 z^2 - 263648 z^3 + 5333760 z^4 - 9584640 z^5 + 4587520 z^6) 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