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On the limits of quotients of polynomials in two variables

Wituła R., Hetmaniok E., Wróbel A., Matlak J.

Journal of Applied Mathematics and Computational Mechanics

2015

Vol. 14, nr 1

121--132

The aim of this paper is to discuss different types of decompositions and factorizations concerning a few families of symmetric polynomials in two variables including Ma polynomials, classic Cauchy polynomials, Ferrers-Jackson polynomials and some elementary polynomials as well. Application of the discussed decompositions and factorizations for determining the limits of quotients of the respective polynomials in two variables is presented here and some general theorems on these limits are also proven in this elaboration.