We analyse the energy magneto-polaron spectrum of the polar uniaxial layer compound InSe in a magnetic field directed along the optical axis. A quasibidimensional behaviour of the electron gas in this particular structure was considered. In the framework of the Wigner-Brillouin perturbational theory we systematically take into account all the sources of anisotropy. We found that the implied anisotropy brings distinctive contributions to the complex energy magneto-polaron spectrum of polar uniaxial crystals. The theory is used to examine the experimental results obtained from cyclotron resonance frequency measurements in InSe at low temperature.
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