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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=11/8





http://functions.wolfram.com/07.23.03.b932.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 11/8, 7/2, -z] == -((64 (Sqrt[z] (1073380 + 6171935 z - 9527028 z^2 - 3269118 z^3 + 11482312 z^4 + 20888631 z^5 + 16017568 z^6 + 6101760 z^7 + 946176 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (613360 + 3105135 z + 613360 z^2 + 33578034 z^3 + 60504108 z^4 + 60871223 z^5 + 36083404 z^6 + 11816448 z^7 + 1655808 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (947039457 z^(5/2) (1 + z)^(7/8)))








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