POLY-CAUCHY NUMBERS

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  • KOMATSU Takao
    Graduate School of Science and Technology Hirosaki University

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We define the poly-Cauchy numbers by generalizing the Cauchy numbers of the first kind (the Bernoulli numbers of the second kind when divided by a factorial). We study their characteristic properties which are analogous to those of the poly-Bernoulli numbers introduced by Kaneko, and generalize those of the classical Cauchy numbers of the first kind as well as of the second kind.

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