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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=-15/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), -(15/8), 21/4, z] == (16 2^(1/4) (4 (22230 - 359955 z + 3115905 z^2 - 22680357 z^3 + 1295104783 z^4 + 2419815147 z^5 + 708538351 z^6 - 609875 z^7 + 24395 z^8) + (1/Sqrt[1 - z]) (-88920 + 1484280 z - 13172415 z^2 + 96778818 z^3 + 1931606719 z^4 + 56249092 z^5 - 1824638449 z^6 - 257855150 z^7 + 10026345 z^8 - 390320 z^9)))/ (114494642045 (1 + Sqrt[1 - z])^(1/4) z^4)








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