利用算子研究退化伯努利数与欧拉数
A study of degenerate Bernoulli and Euler numbers via operators
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中文总结 AI 辅助
本文引入新型算子类,推导退化欧拉数与2型退化欧拉数的显式表达式,建立退化伯努利数与退化欧拉数的关系,为特殊数研究提供新方法。
中文摘要 AI 辅助
本文引入新型算子类并探究其在特殊数研究中的应用,利用这些算子推导退化欧拉数与2型退化欧拉数的显式表达式,还建立了退化伯努利数与退化欧拉数之间的关系,这些算子是在研究上述显式表达式及该关系时自然产生的。
英文摘要
The paper introduces novel classes of operators and investigates their applications to the study of special numbers. We utilize these operators to derive explicit expressions for degenerate Euler numbers and type 2 degenerate Euler numbers. Furthermore, we establish a relationship between degenerate Bernoulli numbers and degenerate Euler numbers. We note here that these operators emerge naturally when we study such explicit expressions and such a relationship