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This work presents several expressions and identities relating to a new class of degenerate Bell polynomials and numbers of the second kind. In particular, we construct an equation using Dobinski-type formulas, generalized falling factorial sequences, and Stirling numbers of the second sort. We also create relations with the first and second kinds’ Stirling numbers as well as formulas employing the second kind’s Stirling polynomials.

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Some Identities of New Type Degenerate Bell Polynomials of the Second Kind with Their Applications

  • 会议论文

  • 发表日期：

    2025年

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  • Azhar Iqbal,
  • Waseem Ahmad Khan

摘要

This work presents several expressions and identities relating to a new class of degenerate Bell polynomials and numbers of the second kind. In particular, we construct an equation using Dobinski-type formulas, generalized falling factorial sequences, and Stirling numbers of the second sort. We also create relations with the first and second kinds’ Stirling numbers as well as formulas employing the second kind’s Stirling polynomials.