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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=19/4





http://functions.wolfram.com/07.23.03.a9sf.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, -(5/2), -z] == (Sqrt[z] (-339456 z^7 + 20 (1 + Sqrt[1 + z]) + 9984 z^6 (-113 + 17 Sqrt[1 + z]) + 6240 z^5 (-219 + 70 Sqrt[1 + z]) - z (133 + 143 Sqrt[1 + z]) + z^2 (901 + 975 Sqrt[1 + z]) + 48 z^4 (-14713 + 7631 Sqrt[1 + z]) + 6 z^3 (-21237 + 16732 Sqrt[1 + z])))/ (40 Sqrt[2] (1 + z)^(5/2) Sqrt[-1 + 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