Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers
arXiv:1703.01385 · doi:10.3836/tjm/1502179245
Abstract
In this paper, we define the truncated Bernoulli-Carlitz numbers and the truncated Cauchy-Carlitz numbers as analogues of hypergeometric Bernoulli numbers and hypergeometric Cauchy numbers, and as extensions of Bernoulli-Carlitz numbers and the Cauchy-Carlitz numbers. These numbers can be expressed explicitly in terms of incomplete Stirling-Carlitz numbers.