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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.b9j6.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(13/4), z] == (248976 (1 + Sqrt[1 - z]) + 4788 (249 + 275 Sqrt[1 - z]) z + 1197 (4837 + 5413 Sqrt[1 - z]) z^2 + 399 (100534 + 109105 Sqrt[1 - z]) z^3 + 399 (2819247 + 2876060 Sqrt[1 - z]) z^4 - 48 (191477219 + 147454528 Sqrt[1 - z]) z^5 + 3328 (7431799 + 4147028 Sqrt[1 - z]) z^6 - 5324800 (5829 + 2108 Sqrt[1 - z]) z^7 + 43450368 (431 + 76 Sqrt[1 - z]) z^8 - 4402970624 z^9)/(248976 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(7/2))








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