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