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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=-45/8, b>=a > For fixed z and a=-45/8, b=47/8





http://functions.wolfram.com/07.23.03.b7az.01









  


  








Input Form





Hypergeometric2F1[-(45/8), 47/8, -(11/2), -z] == (1/(32124928 (1 + z)^(43/8))) ((32124928 - 29387008 z + 34338080 z^2 - 48681501 z^3 + 92640090 z^4 - 287681953 z^5 + 2568551128 z^6 + 37278464960 z^7 + 103469572096 z^8 + 123287633920 z^9 + 68923424768 z^10 + 14902362112 z^11) Cos[(3 ArcTan[Sqrt[z]])/4] - Sqrt[z] (-24093696 + 25553920 z - 30285388 z^2 + 42160403 z^3 - 77267810 z^4 + 229305791 z^5 + 20419276240 z^6 + 66625273088 z^7 + 85538455552 z^8 + 50062622720 z^9 + 11176771584 z^10) Sin[(3 ArcTan[Sqrt[z]])/4])








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