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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=2





http://functions.wolfram.com/07.23.03.a9j6.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 2, 5, z] == (1/(224595 z^4)) (64 (-96 (-1 + (1 - z)^(3/4)) + 8 (-70 + 61 (1 - z)^(3/4)) z + (1085 - 728 (1 - z)^(3/4)) z^2 - 504 (1 - z)^(3/4) z^3 + 3080 (1 - z)^(3/4) z^4 - 4424 (1 - z)^(3/4) z^5 + 3192 (1 - z)^(3/4) z^6 - 1192 (1 - z)^(3/4) z^7 + 184 (1 - z)^(3/4) 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