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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.bd9j.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 41/8, -(11/4), z] == (7480 (1 + Sqrt[1 - z]) + 340 (101 + 112 Sqrt[1 - z]) z + 85 (2084 + 2319 Sqrt[1 - z]) z^2 + 935 (1804 + 1915 Sqrt[1 - z]) z^3 - 12 (4559059 + 1766216 Sqrt[1 - z]) z^4 + 5376 (39245 + 9399 Sqrt[1 - z]) z^5 - 279552 (1157 + 164 Sqrt[1 - z]) z^6 + 851968 (262 + 17 Sqrt[1 - z]) z^7 - 57933824 z^8)/(7480 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (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