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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=27/8





http://functions.wolfram.com/07.23.03.b9aq.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 27/8, 1/2, -z] == (1/(265031 (1 + z)^(7/8))) ((265031 + 7416438 z + 30237767 z^2 + 20261472 z^3 - 60509952 z^4 - 96006144 z^5 - 38338560 z^6) Cos[(7 ArcTan[Sqrt[z]])/4] + 4 Sqrt[z] (341387 + 6560353 z + 32010660 z^2 + 62557152 z^3 + 53534208 z^4 + 16773120 z^5) Sin[(7 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