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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=-23/4, b>=a > For fixed z and a=-23/4, b=11/4





http://functions.wolfram.com/07.23.03.9761.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 11/4, -(7/2), z] == (1/224) ((1/Sqrt[1 - Sqrt[z]]) (112 - 56 Sqrt[z] + 492 z - 260 z^(3/2) + 1735 z^2 - 936 z^(5/2) + 6888 z^3 - 3696 z^(7/2) + 55440 z^4 + 137280 z^(9/2) - 356928 z^5 - 164736 z^(11/2) + 329472 z^6) + (1/Sqrt[1 + Sqrt[z]]) (112 + 56 Sqrt[z] + 492 z + 260 z^(3/2) + 1735 z^2 + 936 z^(5/2) + 6888 z^3 + 3696 z^(7/2) + 55440 z^4 - 137280 z^(9/2) - 356928 z^5 + 164736 z^(11/2) + 329472 z^6))








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