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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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참고문헌 (15)
참고문헌 신청
A. Bayad / 2011 / Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials / Russ. J. Math. Phys 18(2):133~143
L. Comtet / 1974 / Advanced Combinatorics / Reidel
J. Jeong / 2015 / On finite times degenerate Cauchy numbers and polynomials / Adv. Difference Equ 2015:321
김대산 / 2013 / Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials / Advanced Studies in Contemporary Mathematics 23(4):621~636
D. S. Kim / 2015 / A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials / Russ. J. Math. Phys 22(1):26~33
L. Comtet / 1974 / Advanced Combinatorics / Reidel
J. Jeong / 2015 / On finite times degenerate Cauchy numbers and polynomials / Adv. Difference Equ 2015:321
김대산 / 2013 / Higher-order Cauchy of the first kind and poly-Cauchy of the first kind mixed type polynomials / Advanced Studies in Contemporary Mathematics 23(4):621~636
D. S. Kim / 2015 / A note on poly-Bernoulli and higher-order poly-Bernoulli polynomials / Russ. J. Math. Phys 22(1):26~33
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