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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=27/8





http://functions.wolfram.com/07.23.03.b9ba.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 19/4, z] == (8 2^(3/4) (153340 - 156825 z - 282285 z^2 + 35377317 z^3 - 120924747 z^4 + 180149616 z^5 - 141303680 z^6 + 57427968 z^7 - 9584640 z^8 + (1/Sqrt[1 - z]) (-153340 + 233495 z + 223040 z^2 + 37931822 z^3 - 179431468 z^4 + 361317443 z^5 - 398795936 z^6 + 253381888 z^7 - 87486464 z^8 + 12779520 z^9)))/(587682407 (1 + Sqrt[1 - z])^(3/4) 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