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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=5/4, b>=a > For fixed z and a=5/4, b=19/4





http://functions.wolfram.com/07.23.03.ak0j.01









  


  








Input Form





Hypergeometric2F1[5/4, 19/4, -(11/2), z] == (1/9856) ((1/(1 - Sqrt[z])^(23/2)) (4928 - 56672 Sqrt[z] + 292208 z - 880992 z^(3/2) + 1688568 z^2 - 2074002 z^(5/2) + 1537803 z^3 - 592572 z^(7/2) + 120612 z^4 - 10488 z^(9/2)) + (1/(1 + Sqrt[z])^(23/2)) (4928 + 56672 Sqrt[z] + 292208 z + 880992 z^(3/2) + 1688568 z^2 + 2074002 z^(5/2) + 1537803 z^3 + 592572 z^(7/2) + 120612 z^4 + 10488 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