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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=43/8





http://functions.wolfram.com/07.23.03.b9k0.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 43/8, 7/2, -z] == -((64 (Sqrt[z] (292740 - 4269125 z - 733760706 z^2 - 4073635129 z^3 - 5899559280 z^4 + 3930557696 z^5 + 17304535040 z^6 + 15222112256 z^7 + 4402970624 z^8) Cos[(7 ArcTan[Sqrt[z]])/4] - (167280 - 2554505 z + 64367950 z^2 + 2582165323 z^3 + 16107485140 z^4 + 41269742592 z^5 + 51907867648 z^6 + 31936020480 z^7 + 7705198592 z^8) Sin[(7 ArcTan[Sqrt[z]])/4]))/(53981249049 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