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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 8 and fixed z and a>0 > For fixed z and a=1/8, b>=a > For fixed z and a=1/8, b=29/8





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









  


  








Input Form





Hypergeometric2F1[1/8, 29/8, -(11/2), z] == (1/630784) ((1/(1 - Sqrt[z])^(37/4)) (315392 - 2917376 Sqrt[z] + 12008192 z - 28842240 z^(3/2) + 44465120 z^2 - 45456572 z^(5/2) + 30609471 z^3 - 12987592 z^(7/2) + 3176080 z^4 - 343360 z^(9/2)) + (1/(1 + Sqrt[z])^(37/4)) (315392 + 2917376 Sqrt[z] + 12008192 z + 28842240 z^(3/2) + 44465120 z^2 + 45456572 z^(5/2) + 30609471 z^3 + 12987592 z^(7/2) + 3176080 z^4 + 343360 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