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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=-9/4, b>=a > For fixed z and a=-9/4, b=21/4





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









  


  








Input Form





Hypergeometric2F1[-(9/4), 21/4, 7/2, z] == (1/(46189 z^(5/2))) (4 (Sqrt[1 + Sqrt[z]] (-12 + 6 Sqrt[z] - 109 z + 56 z^(3/2) - 1512 z^2 + 6544 z^(5/2) + 9328 z^3 - 23232 z^(7/2) - 9152 z^4 + 18304 z^(9/2)) + Sqrt[1 - Sqrt[z]] (12 + 6 Sqrt[z] + 109 z + 56 z^(3/2) + 1512 z^2 + 6544 z^(5/2) - 9328 z^3 - 23232 z^(7/2) + 9152 z^4 + 18304 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