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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=-19/4, b>=a > For fixed z and a=-19/4, b=5/4





http://functions.wolfram.com/07.23.03.a9g8.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 5/4, 2, z] == (1/(504735 Pi z)) (8 (2 Sqrt[1 - z] (-21945 + 168906 z - 372141 z^2 + 389964 z^3 - 200704 z^4 + 40960 z^5) EllipticE[(1/2) (1 - Sqrt[1 - z])] - (-21945 + 59181 z - 114783 z^2 + 110283 z^3 - 53056 z^4 + 10240 z^5) EllipticK[(1/2) (1 - Sqrt[1 - z])] - Sqrt[1 - z] (-21945 + 168906 z - 372141 z^2 + 389964 z^3 - 200704 z^4 + 40960 z^5) 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