The main topic, in the opinion of the reviewer, is found in the last part of the recent paper: the polynomials considered here are not new, as the author calls them, they are special cases of the well known Jacobi polynomials, and consequently all properties derived in the paper (representation by hypergeometric functions, explicit polynomial representation, Rodrigues formula, orthogonality relations) are in the scope of traditional investigations and may be found by specialization of results, known since the 19-th century. However, if anyone feels a need to reproduce those results, e.g. for the use in a special application -- let us concede that.