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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=6





http://functions.wolfram.com/07.23.03.a9x9.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 6, -(21/4), z] == (1/(25346048 (-1 + z)^7)) (4 (-6336512 + 9957376 z + 1490944 z^2 + 3325952 z^3 + 9748480 z^4 + 46448640 z^5 + 986890240 z^6 - 6813395029 z^7 + 16702138689 z^8 - 21048091890 z^9 + 14751788898 z^10 - 5498280249 z^11 + 854314461 z^12) - 4389 Sqrt[1 - z] z^(25/4) (-483923 + 1919005 z - 3140190 z^2 + 2630970 z^3 - 1122975 z^4 + 194649 z^5) Beta[z, 3/4, 1/2])








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