Translator Disclaimer
December 2018 Truncated Bernoulli-Carlitz and Truncated Cauchy-Carlitz Numbers
Takao KOMATSU
Tokyo J. Math. 41(2): 541-556 (December 2018). 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.

Citation

Download Citation

Takao KOMATSU. "Truncated Bernoulli-Carlitz and Truncated Cauchy-Carlitz Numbers." Tokyo J. Math. 41 (2) 541 - 556, December 2018. https://doi.org/10.3836/tjm/1502179245

Information

Published: December 2018
First available in Project Euclid: 20 November 2017

zbMATH: 07053491
MathSciNet: MR3908809
Digital Object Identifier: 10.3836/tjm/1502179245

Subjects:
Primary: 11R58
Secondary: 05A15, 05A19, 11B68, 11B73, 11B75, 11T55

Rights: Copyright © 2018 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
16 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

SHARE
Vol.41 • No. 2 • December 2018
Back to Top