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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=-11/8





http://functions.wolfram.com/07.23.03.b6fn.01









  


  










Input Form





Hypergeometric2F1[-(45/8), -(11/8), 11/2, z] == (1/(132663219625755 z^(9/2))) (1024 (Sqrt[z] (7210560 - 122021560 z + 1081574343 z^2 - 7552372734 z^3 + 207158917313 z^4 + 510137272584 z^5 + 169909315305 z^6 - 9205940854 z^7 + 1168092927 z^8 - 123454524 z^9 + 6970288 z^10) Cos[(3 ArcSin[Sqrt[z]])/4] + (1/Sqrt[1 - z]) ((-9614080 + 170907440 z - 1580746819 z^2 + 11296356225 z^3 - 112029212091 z^4 - 300616007739 z^5 + 237060610939 z^6 + 174373717747 z^7 - 9774991145 z^8 + 1228948903 z^9 - 126939668 z^10 + 6970288 z^11) Sin[(3 ArcSin[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