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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=-7/8, b>=a > For fixed z and a=-7/8, b=29/8





http://functions.wolfram.com/07.23.03.btm4.01









  


  










Input Form





Hypergeometric2F1[-(7/8), 29/8, -(9/2), z] == (1/18432) ((1/(1 - Sqrt[z])^(29/4)) (9216 - 66816 Sqrt[z] + 215296 z - 412496 z^(3/2) + 534876 z^2 - 506021 z^(5/2) + 356584 z^3 - 176784 z^(7/2) + 53824 z^4 - 7424 z^(9/2)) + (1/(1 + Sqrt[z])^(29/4)) (9216 + 66816 Sqrt[z] + 215296 z + 412496 z^(3/2) + 534876 z^2 + 506021 z^(5/2) + 356584 z^3 + 176784 z^(7/2) + 53824 z^4 + 7424 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