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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.a9wr.01









  


  








Input Form





Hypergeometric2F1[-(19/4), 23/4, 3, z] == (1/(13627845 Pi z^2)) (64 Sqrt[1 + Sqrt[z]] (2 (-154 - 3927 z + 211719 z^2 - 1264224 z^3 + 2753712 z^4 - 2545920 z^5 + 848640 z^6) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + (308 - 308 Sqrt[z] + 8085 z - 8085 z^(3/2) + 8532 z^2 - 8532 z^(5/2) - 1314768 z^3 + 1314768 z^(7/2) + 5541120 z^4 - 5541120 z^(9/2) - 7637760 z^5 + 7637760 z^(11/2) + 3394560 z^6 - 3394560 z^(13/2)) EllipticK[(2 Sqrt[z])/(1 + Sqrt[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