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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=29/8, b>=a > For fixed z and a=29/8, b=41/8





http://functions.wolfram.com/07.23.03.cb2x.01









  


  








Input Form





Hypergeometric2F1[29/8, 41/8, -(11/2), -z] == (1/(405504 (1 + z)^(109/8))) ((405504 + 6577920 z + 52716320 z^2 + 287029275 z^3 + 1275207570 z^4 + 5789589377 z^5 + 50845920840 z^6 - 113093060915 z^7 + 39608645610 z^8 - 1785339465 z^9 - 20699588 z^10) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (506880 + 8317440 z + 67439476 z^2 + 371183865 z^3 + 1661643750 z^4 + 7537959715 z^5 - 99850709720 z^6 + 82741776015 z^7 - 11751168930 z^8 + 25874485 z^9) Sin[(5 ArcTan[Sqrt[z]])/4])








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