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<p>In this paper, we introduce a finite <i>q</i> analog of multiple <i>t</i>-function of any general level which can also be thought of as a finite <i>q</i> analog of multiple harmonic series. To begin with, we investigate some special values of these functions at the roots of unity. Later, we establish algebraic relations between special values of these functions with complete exponential Bell polynomials and generalized Stirling numbers. Finally, we study some special values of the finite <i>q</i>-analog of the multiple star <i>t</i>-function of any general level at the roots of unity.</p>

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Special Values of a q-Multiple t-Function of General Level at the Roots of Unity

  • 期刊论文

  • 发表日期：

    2025年11月8日

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  • Tapas Chatterjee,
  • Takao Komatsu

摘要

In this paper, we introduce a finite q analog of multiple t-function of any general level which can also be thought of as a finite q analog of multiple harmonic series. To begin with, we investigate some special values of these functions at the roots of unity. Later, we establish algebraic relations between special values of these functions with complete exponential Bell polynomials and generalized Stirling numbers. Finally, we study some special values of the finite q-analog of the multiple star t-function of any general level at the roots of unity.