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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=23/4





http://functions.wolfram.com/07.23.03.a9w6.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, -(5/2), -z] == (Sqrt[z] (-678912 z^8 + 20 (1 + Sqrt[1 + z]) + 169728 z^7 (-17 + 2 Sqrt[1 + z]) + 9984 z^6 (-481 + 119 Sqrt[1 + z]) - z (151 + 161 Sqrt[1 + z]) + z^2 (1186 + 1269 Sqrt[1 + z]) + 99 z^3 (-2213 + 1786 Sqrt[1 + z]) + 624 z^5 (-6227 + 2454 Sqrt[1 + z]) + 132 z^4 (-11441 + 6500 Sqrt[1 + z])))/(40 Sqrt[2] (1 + z)^(7/2) 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