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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=-17/4, b>=a > For fixed z and a=-17/4, b=1/4





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









  


  








Input Form





Hypergeometric2F1[-(17/4), 1/4, -(11/2), z] == (1/88704) ((1/(1 - Sqrt[z])^(3/2)) (44352 - 66528 Sqrt[z] + 25200 z - 10080 z^(3/2) + 8120 z^2 - 4746 z^(5/2) + 3819 z^3 - 2260 z^(7/2) + 1740 z^4 - 840 z^(9/2) + 560 z^5) + (1/(1 + Sqrt[z])^(3/2)) (44352 + 66528 Sqrt[z] + 25200 z + 10080 z^(3/2) + 8120 z^2 + 4746 z^(5/2) + 3819 z^3 + 2260 z^(7/2) + 1740 z^4 + 840 z^(9/2) + 560 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