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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=41/8





http://functions.wolfram.com/07.23.03.c0dh.01









  


  








Input Form





Hypergeometric2F1[5/8, 41/8, -(5/2), -z] == (1/(2112 (1 + z)^(61/8))) ((2112 + 17160 z + 69575 z^2 + 294525 z^3 + 106245 z^4 + 46935 z^5 + 13584 z^6 + 1792 z^7) Cos[(5 ArcTan[Sqrt[z]])/4] + Sqrt[z] (2640 + 21945 z + 91003 z^2 - 143901 z^3 - 61863 z^4 - 17400 z^5 - 2240 z^6) 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