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arXiv · 1703.01385

Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers

Takao Komatsu
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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.

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Takao Komatsu. 2017-03-04. Truncated Bernoulli-Carlitz and truncated Cauchy-Carlitz numbers. https://doi.org/10.3836/tjm%2F1502179245

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