A New Identity Involving the Chebyshev Polynomials

Yixue Zhang, Zhuoyu Chen

Type: Article

Publication Date: 2018-11-07

Citations: 19

DOI: https://doi.org/10.3390/math6110244

Abstract

In this paper, firstly, we introduced a second order non-linear recursive sequence, then we use this sequence and the combinatorial methods to perform a deep study on the computational problem concerning one kind sums, which includes the Chebyshev polynomials. This makes it possible to simplify a class of complex computations involving the second type Chebyshev polynomials into a very simple problem. Finally, we give a new and interesting identity for it.

Locations

Mathematics - View - PDF

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