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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=-23/4, b>=a > For fixed z and a=-23/4, b=15/4





http://functions.wolfram.com/07.23.03.9924.01









  


  








Input Form





Hypergeometric2F1[-(23/4), 15/4, 5, z] == (4096 ((-(-55936 - 55936 Sqrt[z] + 34960 z + 34960 z^(3/2) + 77349 z^2 + 77349 z^(5/2) + 351785 z^3 + 351785 z^(7/2) - 4785417 z^4 - 4785417 z^(9/2) + 13580931 z^5 + 13580931 z^(11/2) - 18443880 z^6 - 18443880 z^(13/2) + 13605072 z^7 + 13605072 z^(15/2) - 5279040 z^8 - 5279040 z^(17/2) + 848640 z^9 + 848640 z^(19/2))) EllipticE[(2 Sqrt[z])/(1 + Sqrt[z])] + 2 (-27968 + 24472 z + 36271 z^2 + 166060 z^3 + 689234 z^4 - 6703788 z^5 + 16927911 z^6 - 21298992 z^7 + 14829360 z^8 - 5491200 z^9 + 848640 z^10) EllipticK[(2 Sqrt[z])/(1 + Sqrt[z])]))/(12814716915 Pi Sqrt[1 + Sqrt[z]] z^4)








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