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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=19/4





http://functions.wolfram.com/07.23.03.alc4.01









  


  








Input Form





Hypergeometric2F1[9/4, 19/4, -(11/2), z] == (1/49280) ((1/(1 - Sqrt[z])^(25/2)) (24640 - 308000 Sqrt[z] + 1723120 z - 5600000 z^(3/2) + 11379480 z^2 - 14224350 z^(5/2) + 9550635 z^3 - 2032050 z^(7/2) + 162564 z^4) + (1/(1 + Sqrt[z])^(25/2)) (24640 + 308000 Sqrt[z] + 1723120 z + 5600000 z^(3/2) + 11379480 z^2 + 14224350 z^(5/2) + 9550635 z^3 + 2032050 z^(7/2) + 162564 z^4))








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