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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=-45/8, b>=a > For fixed z and a=-45/8, b=47/8





http://functions.wolfram.com/07.23.03.b7by.01









  


  










Input Form





Hypergeometric2F1[-(45/8), 47/8, 11/4, z] == (1/(1134168387 z^2)) (2 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (160950 + 6518475 z - 285239361 z^2 + 2076894864 z^3 - 6076615424 z^4 + 8565506048 z^5 - 5821235200 z^6 + 1534066688 z^7 + (1/Sqrt[1 - z]) (2 (-80475 - 3219000 z + 286030407 z^2 - 2875038804 z^3 + 11489561248 z^4 - 23097102336 z^5 + 24883527680 z^6 - 13751812096 z^7 + 3068133376 z^8))))










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