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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=23/4





http://functions.wolfram.com/07.23.03.a9wo.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, 5/2, z] == (1/(2975 z^(3/2))) (2 (Sqrt[1 + Sqrt[z]] (2 - Sqrt[z] + 107 z + 690 z^(3/2) - 3260 z^2 - 6416 z^(5/2) + 20048 z^3 + 18784 z^(7/2) - 47360 z^4 - 21760 z^(9/2) + 47872 z^5 + 8704 z^(11/2) - 17408 z^6) + Sqrt[1 - Sqrt[z]] (-2 - Sqrt[z] - 107 z + 690 z^(3/2) + 3260 z^2 - 6416 z^(5/2) - 20048 z^3 + 18784 z^(7/2) + 47360 z^4 - 21760 z^(9/2) - 47872 z^5 + 8704 z^(11/2) + 17408 z^6)))








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