Cauchy polynomials are also called Bernoulli polynomials of the second kind and these polynomials are very important to study mathematical physics. D. S. Kim et al. have studied some properties of Bernoulli polynomials of the second kind associated with special polynomials arising from umbral calculus. T. Kim introduced the degenerate Cauchy numbers and polynomials which are derived from the degenerate function $e^t$. Recently J. Jeong, S. H. Rim and B. M. Kim studied on finite times degenerate Cauchy numbers and polynomials. In this paper we consider finite times degenerate higher-order Cauchy numbers and polynomials, and give some identities and properties of these polynomials.
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机译：Cauchy多项式也称为第二类Bernoulli多项式，这些多项式对于研究数学物理学非常重要。 D.S. Kim等。已经研究了第二类伯努利多项式的某些性质，这些性质与本影演算引起的特殊多项式有关。 T. Kim介绍了从简并函数$ e ^ t $派生的简并柯西数和多项式。最近，J。Jeong，S。H. Rim和B. M. Kim在有限时间内研究了退化柯西数和多项式。在本文中，我们考虑了有限时间退化的高阶柯西数和多项式，并给出了这些多项式的一些标识和性质。
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