Geodesic
On a description of normal Hankel matrices
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 3, pp. 809-819

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Characterizing complex matrices normal and Hankel at the same time is shown to be equivalent to characterizing commuting pairs of real Hankel matrices. This last problem is probably not very easy. We give some results that can be considered as a partial progress on the way to solving the problem. 
@article{FPM_1997_3_3_a10,
     author = {Kh. D. Ikramov},
     title = {On a description of normal {Hankel} matrices},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {809--819},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_3_a10/}
}
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Kh. D. Ikramov. On a description of normal Hankel matrices. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 3, pp. 809-819. http://geodesic.mathdoc.fr/item/FPM_1997_3_3_a10/