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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.adha.01









  


  








Input Form





Hypergeometric2F1[-(11/4), 13/4, 5, z] == (1/(204417675 Pi z^4)) (4096 (8 Sqrt[1 - z] (2464 - 2772 z - 2772 z^2 - 4697 z^3 + 30843 z^4 - 32256 z^5 + 10240 z^6) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (9856 - 18480 z - 3465 z^2 - 10010 z^3 + 38595 z^4 - 35136 z^5 + 10240 z^6) EllipticK[(1/2) (1 - Sqrt[1 - z])] - 4 Sqrt[1 - z] (2464 - 2772 z - 2772 z^2 - 4697 z^3 + 30843 z^4 - 32256 z^5 + 10240 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