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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=-43/8, b>=a > For fixed z and a=-43/8, b=1/8





http://functions.wolfram.com/07.23.03.b7pf.01









  


  










Input Form





Hypergeometric2F1[-(43/8), 1/8, 17/4, z] == (8 2^(1/4) (-323532 + 3855423 z - 24885003 z^2 + 672013526 z^3 - 19979250 z^4 + 9098315 z^5 - 3104455 z^6 + 662320 z^7 - 65280 z^8 + (1/Sqrt[1 - z]) (323532 - 4017189 z + 26772273 z^2 + 163744754 z^3 - 257767090 z^4 + 104017135 z^5 - 44723515 z^6 + 14217780 z^7 - 2828800 z^8 + 261120 z^9)))/(6781912595 (1 + Sqrt[1 - z])^(1/4) z^3)










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