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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi8f.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(3/4), z] == (850 (1 + Sqrt[1 - z]) + 425 (41 + 42 Sqrt[1 - z]) z - 7 (122517 + 53008 Sqrt[1 - z]) z^2 + 224 (20279 + 5604 Sqrt[1 - z]) z^3 - 1792 (4963 + 824 Sqrt[1 - z]) z^4 + 28672 (261 + 20 Sqrt[1 - z]) z^5 - 2293760 z^6)/(850 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (1 - z)^(5/2))








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