The reciprocal series of Chebyshev polynomials

Articles in Press

Document Type : Research Paper

Authors

1 School of Mathematics and Statistics Zhoukou Normal University Zhoukou (Henan), China

2 School of Economic and Management Nanjing University of Science and Technology Nanjing(Jiangsu), China

10.22108/toc.2026.146321.2314

Abstract

In this paper, we consider infinite summations derived from the reciprocals of Chebyshev polynomials, and infinite summations derived from the reciprocals of the square of Chebyshev polynomials. Then making use of the floor function to these summations, we obtain several new formulae involving Chebyshev polynomials.

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References

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Transactions on Combinatorics

Articles in Press, Corrected Proof
Available Online from 07 September 2026

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History

  • Receive Date: 13 August 2025
  • Revise Date: 24 August 2026
  • Accept Date: 29 August 2026
  • Published Online: 07 September 2026

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