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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=-43/8, b>=a > For fixed z and a=-43/8, b=33/8





http://functions.wolfram.com/07.23.03.b84q.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, -(1/2), z] == (1/484840) ((1 + Sqrt[z])^(3/4) (242420 - 181815 Sqrt[z] + 10908900 z + 156326368 z^(3/2) - 357240576 z^2 - 1152383232 z^(5/2) + 1932170240 z^3 + 2363412480 z^(7/2) - 3430023168 z^4 - 1433862144 z^(9/2) + 1911816192 z^5) + (1 - Sqrt[z])^(3/4) (242420 + 181815 Sqrt[z] + 10908900 z - 156326368 z^(3/2) - 357240576 z^2 + 1152383232 z^(5/2) + 1932170240 z^3 - 2363412480 z^(7/2) - 3430023168 z^4 + 1433862144 z^(9/2) + 1911816192 z^5))








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