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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.b9je.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, -(5/4), z] == (183540 (1 + Sqrt[1 - z]) + 9177 (407 + 417 Sqrt[1 - z]) z + 9177 (22449 + 22660 Sqrt[1 - z]) z^2 - 16 (168534809 + 141877216 Sqrt[1 - z]) z^3 + 3328 (3198031 + 2085108 Sqrt[1 - z]) z^4 - 1064960 (17301 + 7684 Sqrt[1 - z]) z^5 + 14483456 (1013 + 228 Sqrt[1 - z]) z^6 - 4402970624 z^7)/(183540 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(3/2))








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