论文标题

关于新类型退化伯努利编号的注释

A note on new type degenerate Bernoulli numbers

论文作者

Kim, Taekyun, Kim, Dae San

论文摘要

研究各种特殊多项式的退化版本已成为研究的活跃领域,并产生了许多有趣的算术和组合结果。在这里,我们介绍了一个变性版本的PolyRogarithm函数,称为退化多元素函数。然后,我们通过使用退化的聚类函数来构建新型的退化bernoulli多项式和数字,称为退化bernoulli多项式和数字,并在退化的poly-bernoulli数字上得出多个属性

Studying degenerate versions of various special polynomials have become an active area of research and yielded many interesting arithmetic and combinatorial results. Here we introduce a degenerate version of polylogarithm function, called the degenerate polylogarithm function. Then we construct new type degenerate Bernoulli polynomials and numbers, called degenerate poly-Bernoulli polynomials and numbers,by using the degenerate polylogarithm function and derive several properties on the degenerate poly-Bernoulli numbers

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