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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=-5/8, b>=a > For fixed z and a=-5/8, b=47/8





http://functions.wolfram.com/07.23.03.bvb4.01









  


  








Input Form





Hypergeometric2F1[-(5/8), 47/8, -(5/2), -z] == (1/(593216 (1 + z)^(59/8))) ((-(-593216 - 3336840 z - 5904353 z^2 + 7721077 z^3 + 23111997 z^4 + 27769487 z^5 + 18227104 z^6 + 6402816 z^7 + 946176 z^8)) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (444912 + 2437747 z + 4087629 z^2 + 14919661 z^3 + 19075871 z^4 + 13008828 z^5 + 4698624 z^6 + 709632 z^7) Sin[(3 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