On the Chebyshev Polynomials and Some of Their Reciprocal Sums
On the Chebyshev Polynomials and Some of Their Reciprocal Sums
In this paper, we utilize the mathematical induction, the properties of symmetric polynomial sequences and Chebyshev polynomials to study the calculating problems of a certain reciprocal sums of Chebyshev polynomials, and give two interesting identities for them. These formulae not only reveal the close relationship between the trigonometric function and …