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<p>Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe. In this paper we establish two Stieltjes integrals that help us to characterize the Sheffer-Dunkl polynomials.</p>

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Two characterizations of Sheffer-Dunkl sequences of polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年6月27日

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  • Alejandro Gil Asensi,
  • Judit Mínguez Ceniceros

摘要

Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe. In this paper we establish two Stieltjes integrals that help us to characterize the Sheffer-Dunkl polynomials.