scientific article; zbMATH DE number 7640046

zbMath1506.11027MaRDI QIDQ5060319

Jiejie Gao

Publication date: 10 January 2023

Full work available at URL: https://cs.uwaterloo.ca/journals/JIS/VOL26/Gao/gao7.html

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zbMATH Keywords

trigonometric functionChebyshev polynomialFibonacci numberLucas numberarctangent

Mathematics Subject Classification ID

Recurrences (11B37) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Exponential and trigonometric functions (33B10)

Related Items (1)

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Uses Software

• OEIS

Cites Work

• A new identity involving the Chebyshev polynomials
• Some identities involving the reciprocal sums of one-kind Chebyshev polynomials
• Fourier series for functions related to Chebyshev polynomials of the first kind and Lucas polynomials
• Representation by Chebyshev polynomials for sums of finite products of Chebyshev polynomials
• Representing by several orthogonal polynomials for sums of finite products of Chebyshev polynomials of the first kind and Lucas polynomials
• Fibonacci and Lucas Numbers With Applications
• Pell and Pell–Lucas Numbers with Applications
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