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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=-13/8, b>=a > For fixed z and a=-13/8, b=39/8





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









  


  








Input Form





Hypergeometric2F1[-(13/8), 39/8, 9/2, z] == (1/(81998565 z^(7/2))) (128 ((1 + Sqrt[z])^(5/4) (4160 - 5200 Sqrt[z] + 17576 z - 20995 z^(3/2) + 61516 z^2 - 72800 z^(5/2) + 349440 z^3 - 102144 z^(7/2) - 1182720 z^4 + 946176 z^(9/2)) + (1 - Sqrt[z])^(5/4) (-4160 - 5200 Sqrt[z] - 17576 z - 20995 z^(3/2) - 61516 z^2 - 72800 z^(5/2) - 349440 z^3 - 102144 z^(7/2) + 1182720 z^4 + 946176 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