生成多个一般级别t星值的函数

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Advances in Applied Mathematics Pub Date : 2025-01-22 DOI:10.1016/j.aam.2025.102853

Zhonghua Li, Lu Yan

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引用次数: 0

摘要

本文研究了具有任意数目的一般水平双块的多重t-星值的显式表达式。我们给出了这些值的生成函数的表达式，它推广了多个ζ星值和多个t星值的结果。这个衍生的生成函数可以通过附加的阶乘和锤击符号，将一般水平的多个t-星值表示为一般水平的多个t-半值的交替表达式。作为应用，给出了具有1 - 2 - 3或更多一般指标的一般水平多重t星值的一些具体评价。这些评价有助于更深入地理解一般水平的多重t星值的性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Generating functions of multiple t-star values of general level

In this paper, we study the explicit expressions of multiple t-star values with an arbitrary number of blocks of twos of general level. We give an expression of a generating function of such values, which generalizes the results for multiple zeta-star values and multiple t-star values. This derived generating function can provide expressions of multiple t-star values of general level in terms of the alternating multiple t-half values of general level with additional factorial and pochhammer symbol. As applications, some specific evaluations of multiple t-star values of general level with one-two-three or more general indices are given. These evaluations contribute to a deeper understanding of the properties of multiple t-star values of general level.

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来源期刊

Advances in Applied Mathematics 数学-应用数学

CiteScore

2.00

自引率

9.10%

发文量

审稿时长

85 days

期刊介绍： Interdisciplinary in its coverage, Advances in Applied Mathematics is dedicated to the publication of original and survey articles on rigorous methods and results in applied mathematics. The journal features articles on discrete mathematics, discrete probability theory, theoretical statistics, mathematical biology and bioinformatics, applied commutative algebra and algebraic geometry, convexity theory, experimental mathematics, theoretical computer science, and other areas. Emphasizing papers that represent a substantial mathematical advance in their field, the journal is an excellent source of current information for mathematicians, computer scientists, applied mathematicians, physicists, statisticians, and biologists. Over the past ten years, Advances in Applied Mathematics has published research papers written by many of the foremost mathematicians of our time.