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On semiclassical orthogonal polynomials via polynomial mappings
Publication . Castilho, K.; Jesus, M.N.; Petronilho, J.
Orthogonal polynomials via polynomial mappings in the framework of the semiclassical class are considered. It is proved that this class is stable under polynomial transformations. Several consequences of this fact are deduced. As an application cubic transformations for semiclassical orthogonal polynomials of class at most 2 are analyzed, recovering and extending some results proved recently for class 1, and producing new examples of semiclassical orthogonal polynomials of classes 1 and 2.
2016-10-31Journal article Restricted access Show more