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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=-43/8, b>=a > For fixed z and a=-43/8, b=25/8





http://functions.wolfram.com/07.23.03.b811.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 25/8, 7/2, -z] == -((64 (Sqrt[z] (49020 - 159315 z - 638505 z^2 + 7250055 z^3 + 33373505 z^4 + 58539040 z^5 + 51941120 z^6 + 23375872 z^7 + 4259840 z^8) Cos[(5 ArcTan[Sqrt[z]])/4] - (39216 - 134805 z + 1458345 z^2 + 17590545 z^3 + 55920435 z^4 + 85519568 z^5 + 70430080 z^6 + 30218240 z^7 + 5324800 z^8) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (155524551 z^(5/2) (1 + z)^(5/8)))








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