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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=19/4





http://functions.wolfram.com/07.23.03.a9sc.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, -(7/2), -z] == (1/(112 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-((-56 + 200 z - 669 z^2 + 2871 z^3 + 180312 z^4 + 518544 z^5 + 511680 z^6 + 169728 z^7)/(1 + z)^3) + (1/(1 + z)^(7/2)) (2 (28 - 86 z + 281 z^2 - 1254 z^3 + 118371 z^4 + 542544 z^5 + 891696 z^6 + 638976 z^7 + 169728 z^8))))








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