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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=-5/8, b>=a > For fixed z and a=-5/8, b=39/8





http://functions.wolfram.com/07.23.03.bv62.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 39/8, 9/2, z] == (1/(1999965 z^(7/2))) (128 ((1/(1 + Sqrt[z])^(3/4)) (320 + 240 Sqrt[z] + 696 z + 557 z^(3/2) + 1721 z^2 + 1380 z^(5/2) + 8400 z^3 + 14336 z^(7/2) - 16128 z^4 - 21504 z^(9/2)) + (1/(1 - Sqrt[z])^(3/4)) (-320 + 240 Sqrt[z] - 696 z + 557 z^(3/2) - 1721 z^2 + 1380 z^(5/2) - 8400 z^3 + 14336 z^(7/2) + 16128 z^4 - 21504 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