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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=-41/8, b>=a > For fixed z and a=-41/8, b=-21/8





http://functions.wolfram.com/07.23.03.b8s6.01









  


  








Input Form





Hypergeometric2F1[-(41/8), -(21/8), 15/4, z] == (4 2^(3/4) (2 (3485 - 83640 z + 78676755 z^2 + 306802706 z^3 + 251058915 z^4 + 41301780 z^5 - 394611 z^6 + 14706 z^7) + (1/Sqrt[1 - z]) (-6970 + 170765 z + 150571700 z^2 + 358274007 z^3 - 181532586 z^4 - 297778149 z^5 - 30745344 z^6 + 1085793 z^7 - 39216 z^8)))/(1232031915 (1 + Sqrt[1 - z])^(3/4) z^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