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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=3/8





http://functions.wolfram.com/07.23.03.b8zj.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 3/8, 11/2, -z] == -((1024 (4 Sqrt[z] (-4592 - 52234 z - 282408 z^2 - 1019629 z^3 - 6583813 z^4 + 1800684 z^5 + 691366 z^6 + 324011 z^7 + 111831 z^8 + 23744 z^9 + 2304 z^10) Cos[(7 ArcTan[Sqrt[z]])/4] + (10496 + 112176 z + 563873 z^2 + 1891822 z^3 + 7106079 z^4 - 27535708 z^5 - 6783889 z^6 - 2882130 z^7 - 904015 z^8 - 177296 z^9 - 16128 z^10) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (11409570601 z^(9/2) (1 + z)^(7/8)))








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