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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.a9of.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 15/4, -(11/2), z] == (1/29568) ((1/(1 - Sqrt[z])^(9/2)) (14784 - 66528 Sqrt[z] + 164304 z - 312480 z^(3/2) + 508200 z^2 - 744282 z^(5/2) + 1006489 z^3 - 1275912 z^(7/2) + 1524600 z^4 - 1718640 z^(9/2) + 1807344 z^5 - 1729728 z^(11/2) + 1345344 z^6 - 673920 z^(13/2) + 149760 z^7) + (1/(1 + Sqrt[z])^(9/2)) (14784 + 66528 Sqrt[z] + 164304 z + 312480 z^(3/2) + 508200 z^2 + 744282 z^(5/2) + 1006489 z^3 + 1275912 z^(7/2) + 1524600 z^4 + 1718640 z^(9/2) + 1807344 z^5 + 1729728 z^(11/2) + 1345344 z^6 + 673920 z^(13/2) + 149760 z^7))








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