伽玛函数和Barnes双Γ函数的重乘公式的新证明
New proofs of the duplication and multiplication formulae for the gamma and the Barnes double gamma functions
摘要：
利用Hurwitz zeta函数给出了Gamma函数和Barnes双Γ函数的二重公式的新证明.本文还给出了Γ函数的高斯乘法定理和双Γ函数的高斯乘法定理的简明推导。本文还提到了与Stieltjes常数的一些联系。
英文摘要：
New proofs of the duplication formulae for the gamma and the Barnes double gamma functions are derived using the Hurwitz zeta function. Concise derivations of Gauss's multiplication theorem for the gamma function and a corresponding one for the double gamma function are also reported. This paper also refers to some connections with the Stieltjes constants.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
