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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=39/8





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









  


  








Input Form





Hypergeometric2F1[35/8, 39/8, -(9/2), -z] == (1/(3072 (1 + z)^(107/8))) ((3072 + 54784 z + 499620 z^2 + 3297177 z^3 + 20483606 z^4 + 223676739 z^5 - 908029512 z^6 + 622531055 z^7 - 91406994 z^8 + 1431573 z^9) Cos[(3 ArcTan[Sqrt[z]])/4] + Sqrt[z] (2304 + 40752 z + 368849 z^2 + 2420418 z^3 + 15021435 z^4 - 599467492 z^5 + 906433719 z^6 - 293622318 z^7 + 16986589 z^8) 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