Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers
Number Theory
2021-03-01 v1
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.
Keywords
Cite
@article{arxiv.1703.01385,
title = {Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers},
author = {Takao Komatsu},
journal= {arXiv preprint arXiv:1703.01385},
year = {2021}
}