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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=-31/8





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









  


  








Input Form





Hypergeometric2F1[-(35/8), -(31/8), 21/4, z] == (16 2^(1/4) (4 (558 - 11997 z + 144522 z^2 - 1563051 z^3 + 161890788 z^4 + 602786941 z^5 + 530650850 z^6 + 126263531 z^7 + 5901218 z^8) + (1/Sqrt[1 - z]) (-2232 + 49104 z - 601803 z^2 + 6535389 z^3 + 282760329 z^4 + 400900561 z^5 - 299759937 z^6 - 338308009 z^7 - 50817157 z^8 - 756245 z^9)))/(14934083745 (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