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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=11/4





http://functions.wolfram.com/07.23.03.a9lk.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 11/4, 2, -z] == (1/(504735 Pi z)) (8 (1 + z)^(1/4) (2 (3135 + 114566 z + 473039 z^2 + 749304 z^3 + 525360 z^4 + 137280 z^5) EllipticE[1/2 - 1/(2 Sqrt[1 + z])] - (3135 + 114566 z + 473039 z^2 + 749304 z^3 + 525360 z^4 + 137280 z^5) EllipticK[1/2 - 1/(2 Sqrt[1 + z])] + Sqrt[1 + z] (-3135 + 13969 z + 332368 z^2 + 885600 z^3 + 844800 z^4 + 274560 z^5) EllipticK[1/2 - 1/(2 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