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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=-21/8, b>=a > For fixed z and a=-21/8, b=7/8





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









  


  








Input Form





Hypergeometric2F1[-(21/8), 7/8, 23/4, z] == (1/(276758793 z^5)) (16 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (240240 - 1845844 z + 6210295 z^2 - 12056564 z^3 + 15565082 z^4 - 1460224 z^5 + 432791 z^6 - 57040 z^7 + (1/Sqrt[1 - z]) (-240240 + 1965964 z - 7103187 z^2 + 14945996 z^3 - 20923058 z^4 + 16707016 z^5 - 7012355 z^6 + 1888024 z^7 - 228160 z^8)))








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