Sign of spherical harmonic for negative odd m

[Former user]

Hi,

Thank you for your code!

I used function SH_to_spat_cplx to do scalar complex synthesis and it works in a way that spherical harmonic Y(l;m) = conjugate(Y(l;-m)), not Y(l;m) = (-1)^m*conjugate(Y(l;-m)) as I expected. Is that supposed to be so or I am doing something wrong?

Timur

[Nathanaël Schaeffer]

Hello,

Thanks for reporting this.

The latest commit should now fix this issue. You can get it here.

Complex spherical harmonics, as used by SH_to_spat_cplx() and spat_cplx_to_SH(), do conform to this relation: Y(l;m) = (-1)^m*conjugate(Y(l;-m))

The default normalization (orthonormal with Condon-Shortley phase) should now give you Spherical Harmonics as defined on the wikipedia page

[Former user]

Thank you!

[Nathanaël Schaeffer]

fixed in v2.6.1