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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=35/8





http://functions.wolfram.com/07.23.03.b9fl.01









  


  








Input Form





Hypergeometric2F1[-(41/8), 35/8, 9/2, -z] == -((256 (Sqrt[z] (-1951600 + 5830405 z - 27883485 z^2 - 1722916333 z^3 - 5095818511 z^4 - 2313644340 z^5 + 9136605184 z^6 + 15225613312 z^7 + 9214033920 z^8 + 2027683840 z^9) Cos[(7 ArcTan[Sqrt[z]])/4] - (-1115200 + 4098360 z - 18271855 z^2 + 214310075 z^3 + 5723649939 z^4 + 23458639057 z^5 + 42214714528 z^6 + 39255181056 z^7 + 18564116480 z^8 + 3548446720 z^9) Sin[(7 ArcTan[Sqrt[z]])/4]))/ (532100883483 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