We introduce generalized hypergeometric Bernoulli numbers for Dirichlet characters. We study their properties, including relations, expressions and determinants. At the end in Appendix we derive first few expressions of these numbers.

中文翻译：

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广义超几何伯努利数

我们为Dirichlet字符引入广义超几何伯努利数。我们研究它们的属性，包括关系，表达式和行列式。在附录的最后，我们导出了这些数字的前几个表达式。