高师理科学刊2024，Vol.44Issue(5)：13-16,4.DOI:10.3969/j.issn.1007-9831.2024.05.003
基于Zeta函数的Mellin变换及其应用
Mellin transformation and its application on Zeta function
郝梦 1王昱丹1
作者信息
- 1. 天津职业技术师范大学 理学院,天津 300222
- 折叠
摘要
Abstract
Mellin transformation is a kind of integral transformation with power function as integral kernel,which is often used in the research of generalized residue theorem,signal processing and progressive expansion theory.Based on Mellin transformation theory and the relationship between Mellin transformation,Fourier transformation and Zeta function,the transformation form of Mellin transformation in the multiplication of Zeta function and Gamma function is derived.The application method and technique of Mellin transformation in Zeta function transformation are discussed in detail with Euler product formula.关键词
Mellin变换/Fourier变换/Zeta函数/Hurwitz Zeta函数Key words
Mellin transformation/Fourier transform/Zeta function/Hurwitz Zeta function分类
数理科学引用本文复制引用
郝梦,王昱丹..基于Zeta函数的Mellin变换及其应用[J].高师理科学刊,2024,44(5):13-16,4.
