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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=-31/8, b>=a > For fixed z and a=-31/8, b=-3/8





http://functions.wolfram.com/07.23.03.bey8.01









  


  








Input Form





Hypergeometric2F1[-(31/8), -(3/8), -(11/2), z] == (1/1892352) ((1/(1 + Sqrt[z])^(5/4)) (946176 + 1182720 Sqrt[z] - 102144 z - 349440 z^(3/2) - 72800 z^2 - 61516 z^(5/2) - 20995 z^3 - 17576 z^(7/2) - 5200 z^4 - 4160 z^(9/2)) + (1/(1 - Sqrt[z])^(5/4)) (946176 - 1182720 Sqrt[z] - 102144 z + 349440 z^(3/2) - 72800 z^2 + 61516 z^(5/2) - 20995 z^3 + 17576 z^(7/2) - 5200 z^4 + 4160 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