Expansions on branch cuts
Formulas on real axis for real m, n
For m<1<n,csc-1(n1/2)+Pi u<xu+1/2)/;u ∈ Z
For m<1<n,Pi(u+1/2)<xu+1)-csc-1(n1/2)/;u ∈ Z
For n<1<m,csc-1(m1/2)+Pi u<xu+1/2)/;u ∈ Z
For n<1<m,Pi(u+1/2)<xu+1)-csc-1(m1/2)/;u ∈ Z
For 1<n< m,csc-1(m1/2)+Pi u<xu+1/2)/;u ∈ Z
For 1<n< m,Pi(u+1/2)<xu+1)-csc-1(m1/2)/;u ∈ Z
For 1<m< n,csc-1(n1/2)+Pi u<xu+1/2)/;u ∈ Z
For 1<m< n,Pi(u+1/2)<xu+1)-csc-1(n1/2)/;u ∈ Z
Formulas for vertical intervals
For Re(z0/2 Pi-1/4) ∈ Z
For Re(z0/2 Pi-3/4) ∈ Z
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