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ArcSec






Mathematica Notation

Traditional Notation









Elementary Functions > ArcSec[z] > Series representations > Generalized power series > Expansions at generic point z==z0 > For the function itself





http://functions.wolfram.com/01.18.06.0022.01









  


  










Input Form





ArcSec[z] \[Proportional] (Subscript[z, 0]/(Subscript[z, 0] - 1))^ ((1/2) Floor[Arg[(z - Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)]) ((Subscript[z, 0] - 1)/Subscript[z, 0])^ ((1/2) Floor[Arg[(z - Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)]) (-2 I I^Floor[Arg[(-z + Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)] Pi Floor[Arg[(-z + Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)] Floor[(Pi + Arg[(Subscript[z, 0] + 1)/Subscript[z, 0]])/(2 Pi)] + (Subscript[z, 0]/(Subscript[z, 0] + 1))^ ((1/2) Floor[Arg[(-z + Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)]) ((Subscript[z, 0] + 1)/Subscript[z, 0])^ ((1/2) Floor[Arg[(-z + Subscript[z, 0])/(z Subscript[z, 0])]/(2 Pi)]) ArcSec[Subscript[z, 0]]) (1 + O[z - Subscript[z, 0]])










Standard Form





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MathML Form







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type='integer'> -1 </cn> </apply> </apply> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <cn type='integer'> -2 </cn> <imaginaryi /> <apply> <power /> <imaginaryi /> <apply> <floor /> <apply> <times /> <apply> <arg /> <apply> <times /> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> </apply> </apply> <apply> <power /> <apply> <times /> <ci> z </ci> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> <apply> <power /> <apply> <times /> <cn type='integer'> 2 </cn> <pi /> </apply> <cn type='integer'> -1 </cn> </apply> </apply> </apply> </apply> <pi /> <apply> <floor /> <apply> <times /> <apply> <arg /> <apply> <times /> <apply> <plus /> <apply> <ci> Subscript </ci> <ci> z </ci> <cn type='integer'> 0 </cn> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <ci> z </ci> 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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02





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