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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=-35/8, b>=a > For fixed z and a=-35/8, b=33/8





http://functions.wolfram.com/07.23.03.bd5w.01









  


  










Input Form





Hypergeometric2F1[-(35/8), 33/8, 21/4, z] == (16 2^(1/4) (4 (48906 - 13167 z - 23826 z^2 - 80883 z^3 + 1822790 z^4 - 4832956 z^5 + 5414112 z^6 - 2855424 z^7 + 585728 z^8) + (1/Sqrt[1 - z]) (-195624 + 150480 z + 93423 z^2 + 281523 z^3 + 17473013 z^4 - 76799711 z^5 + 133505440 z^6 - 117266688 z^7 + 52129792 z^8 - 9371648 z^9)))/(398936035 (1 + Sqrt[1 - z])^(1/4) 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