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Some Identities Involving the Derivative of the First Kind Chebyshev Polynomials

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  • Tingting Wang
  • Han Zhang

Abstract

We use the combinatorial method and algebraic manipulations to obtain several interesting identities involving the power sums of the derivative of the first kind Chebyshev polynomials. This solved an open problem proposed by Li (2015).

Suggested Citation

  • Tingting Wang & Han Zhang, 2015. "Some Identities Involving the Derivative of the First Kind Chebyshev Polynomials," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-7, July.
    • Handle: RePEc:hin:jnlmpe:146313
    DOI: 10.1155/2015/146313
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    Cited by:

    1. Yixue Zhang & Zhuoyu Chen, 2018. "A New Identity Involving the Chebyshev Polynomials," Mathematics, MDPI, vol. 6(11), pages 1-8, November.
    2. Yuankui Ma & Wenpeng Zhang, 2018. "Some Identities Involving Fibonacci Polynomials and Fibonacci Numbers," Mathematics, MDPI, vol. 6(12), pages 1-8, December.
    3. Shimeng Shen & Li Chen, 2019. "Some Types of Identities Involving the Legendre Polynomials," Mathematics, MDPI, vol. 7(2), pages 1-7, January.

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