Some New Identities for Arctangents and Chebyshev Polynomials
Jiejie Gao
School of Mathematics
Northwest University
Xi'an, Shaanxi
China
Abstract:
In this paper, we use some properties of Chebyshev polynomials and
trigonometric functions to study four classes of sums of products of
two arctangents involving these polynomials. We also give some infinite
series identities concerning Fibonacci and Lucas numbers.
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(Concerned with sequences
A000032
A000045.)
Received August 31 2022; revised versions received September 16 2022; December 20 2022.
Published in Journal of Integer Sequences,
January 1 2023.
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