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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=-7/4, b>=a > For fixed z and a=-7/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[-(7/4), 19/4, -(9/2), z] == (1/2880) ((1/(1 - Sqrt[z])^(15/2)) (1440 - 10800 Sqrt[z] + 37760 z - 84300 z^(3/2) + 138870 z^2 - 181835 z^(5/2) + 194418 z^3 - 168600 z^(7/2) + 113280 z^4 - 54000 z^(9/2) + 15840 z^5 - 2112 z^(11/2)) + (1/(1 + Sqrt[z])^(15/2)) (1440 + 10800 Sqrt[z] + 37760 z + 84300 z^(3/2) + 138870 z^2 + 181835 z^(5/2) + 194418 z^3 + 168600 z^(7/2) + 113280 z^4 + 54000 z^(9/2) + 15840 z^5 + 2112 z^(11/2)))








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