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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=-25/8, b>=a > For fixed z and a=-25/8, b=19/8





http://functions.wolfram.com/07.23.03.bj5s.01









  


  








Input Form





Hypergeometric2F1[-(25/8), 19/8, 9/2, -z] == -((256 (Sqrt[z] (-47600 - 143395 z - 37485 z^2 - 196653 z^3 + 23809 z^4 + 313140 z^5 + 254464 z^6 + 64512 z^7) Cos[(7 ArcTan[Sqrt[z]])/4] - (-27200 - 63240 z + 33745 z^2 + 62475 z^3 + 640899 z^4 + 902657 z^5 + 522928 z^6 + 112896 z^7) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (73190403 z^(7/2) (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