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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=-5/4





http://functions.wolfram.com/07.23.03.a98n.01









  


  










Input Form





Hypergeometric2F1[-(19/4), -(5/4), -(7/2), z] == (1/224) ((1 - Sqrt[z])^(5/2) (112 + 280 Sqrt[z] + 300 z + 260 z^(3/2) + 215 z^2 + 156 z^(5/2) + 100 z^3 + 40 z^(7/2)) + Sqrt[1 + Sqrt[z]] (112 - 56 Sqrt[z] - 148 z + 60 z^(3/2) - 5 z^2 + 14 z^(5/2) + 3 z^3 + 4 z^(7/2) + 20 z^4 - 40 z^(9/2)))










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