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The aim of this study is to investigate probabilistic versions of the fully degenerate Bell polynomials related to the r.v T. Here T Here, T is a random variable for which the moment generating function exists and is well-defined within an interval. The purpose of this study is to establish various properties, provide explicit expressions, and derive identities and recurrence relations for these numbers and polynomials.

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A Comprehensive Study Exploring Probabilistic Fully Degenerate Bell Polynomials Linked to Random Variables

  • 会议论文

  • 发表日期：

    2025年

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  • Waseem Ahmad Khan,
  • Azhar Iqbal

摘要

The aim of this study is to investigate probabilistic versions of the fully degenerate Bell polynomials related to the r.v T. Here T Here, T is a random variable for which the moment generating function exists and is well-defined within an interval. The purpose of this study is to establish various properties, provide explicit expressions, and derive identities and recurrence relations for these numbers and polynomials.