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On some identities and generating functions for \(k\)-Pell sequences and Chebychev polynomials. (English) Zbl 1407.05240
Summary: In this paper, we introduce a new operator in order to derive some properties of homogeneous symmetric functions. By making use of the proposed operator, we give some new generating functions for \(k\)-Fibonacci numbers, \(k\)-Pell numbers and product of sequences and Chebyshev polynomials of second kind.

MSC:
05E05 Symmetric functions and generalizations
05A15 Exact enumeration problems, generating functions
11B39 Fibonacci and Lucas numbers and polynomials and generalizations
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