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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=-35/8, b>=a > For fixed z and a=-35/8, b=9/8





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









  


  










Input Form





Hypergeometric2F1[-(35/8), 9/8, 3/2, -z] == -((1/(9269 Sqrt[z] (1 + z)^(5/8))) (4 (2 Sqrt[z] (17 + 3580 z + 10373 z^2 + 12490 z^3 + 7040 z^4 + 1536 z^5) Cos[(5 ArcTan[Sqrt[z]])/4] - (1881 + 14065 z + 31895 z^2 + 34543 z^3 + 18320 z^4 + 3840 z^5) 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