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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=1





http://functions.wolfram.com/07.23.03.a9fp.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 1, 6, z] == (1/(1751841 z^5)) (4 (-2048 (-1 + (1 - z)^(3/4)) + 1536 (-13 + 12 (1 - z)^(3/4)) z - 192 (-455 + 384 (1 - z)^(3/4)) z^2 + 112 (-2015 + 1536 (1 - z)^(3/4)) z^3 - 63 (-6045 + 4096 (1 - z)^(3/4)) z^4 + 258048 (1 - z)^(3/4) z^5 - 172032 (1 - z)^(3/4) z^6 + 73728 (1 - z)^(3/4) z^7 - 18432 (1 - z)^(3/4) z^8 + 2048 (1 - z)^(3/4) z^9))








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