Rim Seog-Hoon, Kim Taekyun, Pyo Sung-Soo
1Department of Mathematics Education, Kyungpook National University, Taegu, South Korea.
2Department of Mathematics, Kwangwoon University, Seoul, South Korea.
J Inequal Appl. 2018;2018(1):168. doi: 10.1186/s13660-018-1757-0. Epub 2018 Jul 11.
In this paper, we present some identities relating the hyperharmonic, the Daehee and the derangement numbers, and we derive some nonlinear differential equations from the generating function of a hyperharmonic number. In addition, we use this differential equation to obtain some identities in which the hyperharmonic numbers and the Daehee numbers are involved.
在本文中，我们给出了一些关于超调和数、大熙数和错排数的恒等式，并从超调和数的生成函数推导出了一些非线性微分方程。此外，我们利用这个微分方程得到了一些涉及超调和数和大熙数的恒等式。
