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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=43/8





http://functions.wolfram.com/07.23.03.b9ji.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(1/4), z] == (568974 (1 + Sqrt[1 - z]) + 284487 (219 + 220 Sqrt[1 - z]) z - 144 (8312081 + 7334704 Sqrt[1 - z]) z^2 + 3328 (1867891 + 1326308 Sqrt[1 - z]) z^3 - 1064960 (12513 + 6256 Sqrt[1 - z]) z^4 + 43450368 (291 + 76 Sqrt[1 - z]) z^5 - 4402970624 z^6)/(568974 2^(1/4) (1 + Sqrt[1 - z])^(3/4) Sqrt[1 - z])








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