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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=11/8





http://functions.wolfram.com/07.23.03.b937.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 11/8, 19/4, z] == (8 2^(3/4) (153340 - 1146565 z + 3429240 z^2 + 33150402 z^3 - 46598184 z^4 + 37967643 z^5 - 18797156 z^6 + 5262848 z^7 - 642048 z^8 + (1/Sqrt[1 - z]) (-153340 + 1223235 z - 3983355 z^2 + 41890782 z^3 - 95949810 z^4 + 104648751 z^5 - 71812039 z^6 + 31028064 z^7 - 7748352 z^8 + 856064 z^9)))/(587682407 (1 + Sqrt[1 - z])^(3/4) z^3)








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