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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=1/4, b>=a > For fixed z and a=1/4, b=19/4





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









  


  








Input Form





Hypergeometric2F1[1/4, 19/4, -(9/2), z] == (1/4032) ((1/(1 - Sqrt[z])^(19/2)) (2016 - 19152 Sqrt[z] + 80864 z - 198436 z^(3/2) + 309738 z^2 - 315229 z^(5/2) + 206492 z^3 - 85044 z^(7/2) + 20216 z^4 - 2128 z^(9/2)) + (1/(1 + Sqrt[z])^(19/2)) (2016 + 19152 Sqrt[z] + 80864 z + 198436 z^(3/2) + 309738 z^2 + 315229 z^(5/2) + 206492 z^3 + 85044 z^(7/2) + 20216 z^4 + 2128 z^(9/2)))








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