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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=-3/8, b>=a > For fixed z and a=-3/8, b=33/8





http://functions.wolfram.com/07.23.03.bvx0.01









  


  








Input Form





Hypergeometric2F1[-(3/8), 33/8, -(9/2), z] == (1/43008) ((1/(1 - Sqrt[z])^(33/4)) (21504 - 177408 Sqrt[z] + 650496 z - 1400784 z^(3/2) + 1976172 z^2 - 1927365 z^(5/2) + 1317448 z^3 - 600336 z^(7/2) + 162624 z^4 - 19712 z^(9/2)) + (1/(1 + Sqrt[z])^(33/4)) (21504 + 177408 Sqrt[z] + 650496 z + 1400784 z^(3/2) + 1976172 z^2 + 1927365 z^(5/2) + 1317448 z^3 + 600336 z^(7/2) + 162624 z^4 + 19712 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