Ma’s identity and its applications. (English) Zbl 1351.11022
Summary: In the paper we distinguish the, so called, Ma’s polynomials and we introduce connections of these polynomials with the classic Cauchy polynomials and the Ferrers-Jackson’s polynomials. Presented connections enable to receive certain interesting divisibility relations for all these three types of polynomials and some other symmetric polynomials. Application of the discussed identities for determining the limits of quotients of the respective polynomials in two variables are also presented here.
MSC:
11B83 | Special sequences and polynomials |
11C08 | Polynomials in number theory |
12D05 | Polynomials in real and complex fields: factorization |