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In this paper, we calculate the Mandel parameter $Q_M$ for an oscillator-likesystem generated by generalized Chebyshev polynomials \cite{01}, \cite{02},\cite{03}. The sign of the Mandel parameter $Q_M$ characterizes the deviationof the excitation statistics from the Poisson one. This work is a continuationof our works \cite{04}, \cite{05}.

Calculating the Mandel parameter for an oscillator-like system generated by generalized Chebyshev polynomials