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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=4





http://functions.wolfram.com/07.23.03.a9px.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 4, -(9/4), z] == (1/(18432 (-1 + z)^2)) (4 (4608 + 29696 z + 218624 z^2 + 5875712 z^3 - 43118505 z^4 + 95741019 z^5 - 86915367 z^6 + 28164213 z^7) - 4389 Sqrt[1 - z] z^(13/4) (-2975 + 12075 z - 15525 z^2 + 6417 z^3) Beta[z, 3/4, 1/2])








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