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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=-41/8, b>=a > For fixed z and a=-41/8, b=27/8





http://functions.wolfram.com/07.23.03.b9ad.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, -(5/2), z] == (1/12160) ((1/(1 - Sqrt[z])^(3/4)) (6080 - 4560 Sqrt[z] + 41496 z - 31787 z^(3/2) + 248976 z^2 - 191520 z^(5/2) + 2808960 z^3 - 6241536 z^(7/2) - 16386048 z^4 + 24858624 z^(9/2) + 15482880 z^5 - 20643840 z^(11/2)) + (1/(1 + Sqrt[z])^(3/4)) (6080 + 4560 Sqrt[z] + 41496 z + 31787 z^(3/2) + 248976 z^2 + 191520 z^(5/2) + 2808960 z^3 + 6241536 z^(7/2) - 16386048 z^4 - 24858624 z^(9/2) + 15482880 z^5 + 20643840 z^(11/2)))








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