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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi95.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, 9/2, -z] == -((256 (Sqrt[z] (-4560 + 20235 z - 104082 z^2 - 360437 z^3 + 5231072 z^4 + 17022208 z^5 + 17518592 z^6 + 5963776 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] - 4 (-912 + 4218 z - 21603 z^2 + 250173 z^3 + 2670052 z^4 + 6354656 z^5 + 5824000 z^6 + 1863680 z^7) Sin[(5 ArcTan[Sqrt[z]])/4]))/(407326205 z^(7/2) (1 + z)^(5/8)))








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