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<p>In this paper, we introduce the parametric trigonometric-type <i>U</i>-Fubini-Bernoulli polynomials and the <i>U</i>-Fubini-Bernoulli-type numbers. Then, we explain their properties and their relationships to other families of polynomials, such as Pollaczek polynomials, Laguerre polynomials, and the Hermite polynomials. In the same way, we also examine the Fourier expansions and derive the integral representation of this family of polynomials.</p>

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About Fourier expansions and integral representation of new parametric trigonometric-type U-Fubini-Bernoulli polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年1月23日

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  • María José Ortega,
  • Alejandro Urieles,
  • Clemente Cesarano,
  • William Ramírez

摘要

In this paper, we introduce the parametric trigonometric-type U-Fubini-Bernoulli polynomials and the U-Fubini-Bernoulli-type numbers. Then, we explain their properties and their relationships to other families of polynomials, such as Pollaczek polynomials, Laguerre polynomials, and the Hermite polynomials. In the same way, we also examine the Fourier expansions and derive the integral representation of this family of polynomials.