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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=3/4





http://functions.wolfram.com/07.23.03.a9e1.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 3/4, -(3/2), z] == (1/8) ((1 + Sqrt[z])^(5/2) (4 - 10 Sqrt[z] + 27 z - 50 z^(3/2) + 140 z^2 - 448 z^(5/2) + 560 z^3 - 224 z^(7/2)) + (1 - Sqrt[z])^(5/2) (4 + 10 Sqrt[z] + 27 z + 50 z^(3/2) + 140 z^2 + 448 z^(5/2) + 560 z^3 + 224 z^(7/2)))








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