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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=-27/8, b>=a > For fixed z and a=-27/8, b=41/8





http://functions.wolfram.com/07.23.03.bi7s.01









  


  








Input Form





Hypergeometric2F1[-(27/8), 41/8, -(23/4), z] == (-625600 + 2536400 z - 2988600 z^2 + 169745 z^3 + 361165 z^4 + 745875 z^5 + 2644775 z^6 - 10214384 z^7 + 11497344 z^8 - 5670912 z^9 + 1064960 z^10 + (1/Sqrt[1 - z]) (-625600 + 2849200 z - 4178600 z^2 + 1386095 z^3 + 515780 z^4 + 648890 z^5 + 2276300 z^6 - 35689441 z^7 + 70782944 z^8 - 61234944 z^9 + 25612288 z^10 - 4259840 z^11))/ (625600 2^(3/4) (1 + Sqrt[1 - z])^(1/4) (-1 + z)^7)








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