Pyo Sung-Soo, Kim Taekyun, Rim Seog-Hoon
1Department of mathematics Education, Silla University, Busan, Republic of Korea.
2Department of Mathematics, Kwangwoon University, Seoul, Republic of Korea.
J Inequal Appl. 2018;2018(1):32. doi: 10.1186/s13660-018-1626-x. Epub 2018 Feb 5.
Since Cauchy numbers were introduced, various types of Cauchy numbers have been presented. In this paper, we define degenerate Cauchy numbers of the third kind and give some identities for the degenerate Cauchy numbers of the third kind. In addition, we give some relations between four kinds of the degenerate Cauchy numbers, the Daehee numbers and the degenerate Bernoulli numbers.
自从柯西数被引入以来,已经出现了各种类型的柯西数。在本文中,我们定义了第三类退化柯西数,并给出了第三类退化柯西数的一些恒等式。此外,我们给出了四类退化柯西数、大熙数和退化伯努利数之间的一些关系。