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





http://functions.wolfram.com/07.23.03.bc6j.01









  


  








Input Form





Hypergeometric2F1[-(37/8), 39/8, -(21/4), z] == (1/(5430208 2^(1/4) (-1 + z)^5)) ((1 + Sqrt[1 - z])^(1/4) (-2715104 + 1745424 z + 1986418 z^2 + 2677315 z^3 + 4577460 z^4 + 12376967 z^5 - 182325792 z^6 + 341104896 z^7 - 242626560 z^8 + 61276160 z^9 + (1/Sqrt[1 - z]) (2 (-1357552 + 1551488 z + 726547 z^2 + 817811 z^3 + 1493735 z^4 + 4817741 z^5 + 235695126 z^6 - 798711936 z^7 + 1005768192 z^8 - 569507840 z^9 + 122552320 z^10))))








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