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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=-39/8, b>=a > For fixed z and a=-39/8, b=37/8





http://functions.wolfram.com/07.23.03.bam9.01









  


  








Input Form





Hypergeometric2F1[-(39/8), 37/8, -(19/4), z] == (1/(1357664 2^(3/4) (-1 + z)^4)) ((1 + Sqrt[1 - z])^(3/4) (678832 + 634172 z + 703395 z^2 + 963438 z^3 + 1900515 z^4 - 180788256 z^5 + 442447104 z^6 - 377794560 z^7 + 110297088 z^8 + (1/Sqrt[1 - z]) (678832 + 294756 z + 301455 z^2 + 490042 z^3 + 1264719 z^4 + 195964884 z^5 - 730718208 z^6 + 1015280640 z^7 - 629342208 z^8 + 147062784 z^9)))








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