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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=41/8





http://functions.wolfram.com/07.23.03.b89v.01









  


  








Input Form





Hypergeometric2F1[-(43/8), 41/8, 9/2, -z] == -((256 (Sqrt[z] (-980400 + 5625045 z - 38787075 z^2 - 370497861 z^3 + 2752262579 z^4 + 18226223760 z^5 + 39558355200 z^6 + 41428008960 z^7 + 21421031424 z^8 + 4402970624 z^9) Cos[(5 ArcTan[Sqrt[z]])/4] - 2 (-392160 + 2323548 z - 15948657 z^2 + 261472680 z^3 + 4113407475 z^4 + 16229787310 z^5 + 29659713408 z^6 + 28415682048 z^7 + 13904117760 z^8 + 2751856640 z^9) Sin[(5 ArcTan[Sqrt[z]])/4]))/ (260281444995 z^(7/2) (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