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In the interesting paper G. Honnouvo and K. Thirulogasanthar [J. Math. Phys.{\bf 55} , 093511 (2014)] the authors obtained the necessary and sufficientconditions under which the oscillator algebra connected with orthogonalpolynomials on real line is finite-dimensional (and in this case the dimensionof the algebra is always equal four). In the cited article, only the case whenpolynomials are orthogonal with respect to a symmetric measure on the real axiswas considered. Unfortunately, the sufficient condition from this paper isincomplete. Here we clarify the sufficient part of the corresponding theoremfrom that paper and extend the results to the case when measure is notsymmetric.

Comment on "On the dimensions of the oscillator algebras induced by orthogonal polynomials" [J. Math. Phys. {\bf 55}, 093511 (2014)]