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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.a9wt.01









  


  










Input Form





Hypergeometric2F1[-(19/4), 23/4, 7/2, z] == (1/(224315 z^(5/2))) (4 ((1 + Sqrt[z])^(5/2) (12 - 30 Sqrt[z] + 241 z - 550 z^(3/2) + 5940 z^2 + 14144 z^(5/2) - 138320 z^3 + 98592 z^(7/2) + 416000 z^4 - 565760 z^(9/2) - 169728 z^5 + 565760 z^(11/2) - 226304 z^6) + (1 - Sqrt[z])^(5/2) (-12 - 30 Sqrt[z] - 241 z - 550 z^(3/2) - 5940 z^2 + 14144 z^(5/2) + 138320 z^3 + 98592 z^(7/2) - 416000 z^4 - 565760 z^(9/2) + 169728 z^5 + 565760 z^(11/2) + 226304 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