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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=7/4





http://functions.wolfram.com/07.23.03.a9hr.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 7/4, 1/2, -z] == (1/(663 Sqrt[2] Sqrt[-1 + Sqrt[1 + z]])) (Sqrt[z] (-2 (1663 + 9152 z + 16877 z^2 + 13104 z^3 + 3696 z^4) + (3989 + 31238 z + 84425 z^2 + 105896 z^3 + 63504 z^4 + 14784 z^5)/ Sqrt[1 + z]))








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