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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.b85h.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 33/8, 21/4, z] == (16 2^(1/4) (764712 - 235296 z - 473043 z^2 - 1835799 z^3 + 52669631 z^4 - 175817277 z^5 + 263561056 z^6 - 208995072 z^7 + 85889024 z^8 - 14483456 z^9 + (1/Sqrt[1 - z]) (4 (-191178 + 154413 z + 112746 z^2 + 404415 z^3 + 30225755 z^4 - 158341888 z^5 + 342915417 z^6 - 400772416 z^7 + 266855680 z^8 - 95846400 z^9 + 14483456 z^10))))/ (2792552245 (1 + Sqrt[1 - z])^(1/4) z^4)








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