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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=-35/8, b>=a > For fixed z and a=-35/8, b=41/8





http://functions.wolfram.com/07.23.03.bd9n.01









  


  








Input Form





Hypergeometric2F1[-(35/8), 41/8, -(7/4), z] == (340 (1 + Sqrt[1 - z]) + 85 (41 + 43 Sqrt[1 - z]) z + 935 (53 + 55 Sqrt[1 - z]) z^2 - 20 (104833 + 43832 Sqrt[1 - z]) z^3 + 256 (39486 + 10519 Sqrt[1 - z]) z^4 - 1024 (18181 + 2916 Sqrt[1 - z]) z^5 + 65536 (229 + 17 Sqrt[1 - z]) z^6 - 4456448 z^7)/ (340 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