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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=-47/8, b>=a > For fixed z and a=-47/8, b=-11/8





http://functions.wolfram.com/07.23.03.b4x6.01









  


  










Input Form





Hypergeometric2F1[-(47/8), -(11/8), 21/4, z] == (1/(6054539924475 z^5)) (16 2^(1/4) (1 + Sqrt[1 - z])^(3/4) (6970288 - 123454524 z + 1168092927 z^2 - 9205940854 z^3 + 169909315305 z^4 + 510137272584 z^5 + 207158917313 z^6 - 7552372734 z^7 + 1081574343 z^8 - 122021560 z^9 + 7210560 z^10 + (1/Sqrt[1 - z]) (-6970288 + 126939668 z - 1228948903 z^2 + 9774991145 z^3 - 174373717747 z^4 - 237060610939 z^5 + 300616007739 z^6 + 112029212091 z^7 - 11296356225 z^8 + 1580746819 z^9 - 170907440 z^10 + 9614080 z^11)))










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