Gamma和双Γ函数的渐近展开余项完全单调度的双重不等式
Double Inequalities for Complete Monotonicity Degrees of Remainders of Asymptotic Expansions of the Gamma and Digamma Functions
摘要:
受“对数函数与psi函数之差的完全单调度”一文中几个定理的启发,本文证明了伽玛函数与双Γ函数的对数的渐近展开的逼近器的完全单调度的几个定理,并给出了这类逼近器的两个有界性.
英文摘要:
Motivated by several conjectures posed in the paper " Completely monotonic degrees for a difference between the logarithmic and psi functions",we confirm in this work some conjectures on completely monotonic degrees of remainders of the asymptotic expansion of the logarithm of the gamma function and the digamma function and we give two bounded for this degrees.
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。