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#X text 516 377 Franz Zotter \, 2009;
#X text 129 226 for -n<=m<=n:;
#X text 620 241 for m>=0;
#X text 619 257 for m< 0;
#X text 288 118 [mtx_circular_harmonics] requires a numerical creation
argument <nmax> specifyiing the maximum order 0<=n<=nmax.;
#X text 74 54 [mtx_circular_harmonics] circular harmonics evaluated
at a set of points given in phi coordinates.;
#X text 284 160 for an L points 2xL input matrix \, [mtx_spherical_harmonics]
evaluates the (2*nmax+2) circular harmonics at L points and delivers
an Lx(2*nmax+2) output matrix.;
#X text 167 242 PHI_m(phi) = sqrt((2-delta_m) / (2*pi)) * cos(m*phi)
;
#X text 167 258 PHI_m(phi) = 1/sqrt(pi) * sin(m*phi);
#X text 126 291 The order of the harmonics in the output columns is
specified by the linear index k=nmax+m+1.;
#X text 125 328 [mtx_circular_harmonics] uses fully normalized PHI_m.
;
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