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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=41/8





http://functions.wolfram.com/07.23.03.b88p.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 41/8, -(19/4), z] == (2 (852720 + 1481040 z + 2890085 z^2 + 6855080 z^3 + 22522365 z^4 + 148756630 z^5 - 1324712064 z^6 + 2589150720 z^7 - 1998716928 z^8 + 550371328 z^9) + (1/Sqrt[1 - z]) (1705440 + 2109360 z + 4085950 z^2 + 10343225 z^3 + 37215380 z^4 + 272753525 z^5 - 7301952912 z^6 + 23700508416 z^7 - 31344967680 z^8 + 19016777728 z^9 - 4402970624 z^10))/ (1705440 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + 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