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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 4 and fixed z > For fixed z and a=-19/4, b>=a > For fixed z and a=-19/4, b=15/4





http://functions.wolfram.com/07.23.03.a9pe.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 15/4, 7/2, -z] == (4 Sqrt[2] (-228 + 1349 z - 19190 z^2 - 180767 z^3 - 481296 z^4 - 580992 z^5 - 334464 z^6 - 74880 z^7 + (1/Sqrt[1 + z]) (228 - 1235 z + 18487 z^2 + 274663 z^3 + 1028833 z^4 + 1796952 z^5 + 1654320 z^6 + 781248 z^7 + 149760 z^8)))/ (672945 z^(5/2) Sqrt[-1 + Sqrt[1 + z]])










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