ArcTan[x] - ArcSech[y] == Pi Floor[(-Arg[1 - I x] + Arg[I x + 1] + Pi)/(2 Pi)] - 2 I Pi (Floor[(-Arg[((1 - I x)/(I x + 1))^(I/2)] - Arg[1/(Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y)] + Pi)/(2 Pi)] + Floor[(Im[Log[Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y]] + Pi)/(2 Pi)] + Floor[(Pi - (1/2) Re[Log[(1 - I x)/(I x + 1)]])/(2 Pi)]) + Log[((1 - I x)/(I x + 1))^(I/2)/(Sqrt[1/y - 1] Sqrt[1 + 1/y] + 1/y)]

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</mi> <mo> / </mo> <mn> 2 </mn> </mrow> </msup> <mrow> <mrow> <msqrt> <mrow> <mfrac> <mn> 1 </mn> <mi> y </mi> </mfrac> <mo> - </mo> <mn> 1 </mn> </mrow> </msqrt> <mo> &#8290; </mo> <msqrt> <mrow> <mn> 1 </mn> <mo> + </mo> <mfrac> <mn> 1 </mn> <mi> y </mi> </mfrac> </mrow> </msqrt> </mrow> <mo> + </mo> <mfrac> <mn> 1 </mn> <mi> y </mi> </mfrac> </mrow> </mfrac> <mo> ) </mo> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <apply> <eq /> <apply> <plus /> <apply> <arctan /> <ci> x </ci> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <arcsech /> <ci> y </ci> </apply> </apply> </apply> <apply> <plus /> <apply> <times /> <pi /> <apply> <floor /> <apply> <times /> <apply> <plus /> <apply> <arg /> <apply> <plus /> <apply> <times /> <imaginaryi /> <ci> x </ci> </apply> <cn type='integer'> 1 </cn> </apply> </apply> <apply> <times /> <cn type='integer'> -1 </cn> <apply> <arg /> <apply> <plus /> <cn type='integer'> 1 </cn> <apply> <times /> <cn type='integer'> 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2007-05-02