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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=19/4





http://functions.wolfram.com/07.23.03.a9t8.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 19/4, 9/2, -z] == (8 Sqrt[2] (152 - 608 z + 3325 z^2 - 45714 z^3 - 421839 z^4 - 1110120 z^5 - 1329744 z^6 - 761280 z^7 - 169728 z^8 + (1/Sqrt[1 + z]) (2 (-76 + 266 z - 1501 z^2 + 21983 z^3 + 321717 z^4 + 1191795 z^5 + 2065152 z^6 + 1890096 z^7 + 888576 z^8 + 169728 z^9))))/ (3172455 z^(7/2) 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