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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=3/4, b>=a > For fixed z and a=3/4, b=13/4





http://functions.wolfram.com/07.23.03.aj0u.01









  


  








Input Form





Hypergeometric2F1[3/4, 13/4, -(11/2), z] == (1/4224) ((1/(1 - Sqrt[z])^(19/2)) (2112 - 20064 Sqrt[z] + 84336 z - 204288 z^(3/2) + 309400 z^2 - 293930 z^(5/2) + 162435 z^3 - 41990 z^(7/2) + 4420 z^4) + (1/(1 + Sqrt[z])^(19/2)) (2112 + 20064 Sqrt[z] + 84336 z + 204288 z^(3/2) + 309400 z^2 + 293930 z^(5/2) + 162435 z^3 + 41990 z^(7/2) + 4420 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