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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=15/4





http://functions.wolfram.com/07.23.03.a9pd.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, 7/2, z] == (1/(672945 z^(5/2))) (4 ((1 + Sqrt[z])^(9/2) (228 - 1026 Sqrt[z] + 4199 z - 12312 z^(3/2) + 47880 z^2 - 59472 z^(5/2) - 259056 z^3 + 921024 z^(7/2) - 1165632 z^4 + 673920 z^(9/2) - 149760 z^5) + (1 - Sqrt[z])^(9/2) (-228 - 1026 Sqrt[z] - 4199 z - 12312 z^(3/2) - 47880 z^2 - 59472 z^(5/2) + 259056 z^3 + 921024 z^(7/2) + 1165632 z^4 + 673920 z^(9/2) + 149760 z^5)))








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