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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=-9/8, b>=a > For fixed z and a=-9/8, b=35/8





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









  


  








Input Form





Hypergeometric2F1[-(9/8), 35/8, -(17/4), z] == (4434144 (1 + Sqrt[1 - z]) - 130416 (222 + 205 Sqrt[1 - z]) z + 3762 (19973 + 16567 Sqrt[1 - z]) z^2 - 627 (142236 + 97423 Sqrt[1 - z]) z^3 - 1865325 (-12 + Sqrt[1 - z]) z^4 + 1119195 (32 + 27 Sqrt[1 - z]) z^5 - 85 (879982 + 362105 Sqrt[1 - z]) z^6 + 1700 (33105 + 7924 Sqrt[1 - z]) z^7 - 2284800 (9 + Sqrt[1 - z]) z^8 + 3046400 z^9)/(4434144 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (1 - z)^(15/2))








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