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ON THE DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS

김태균
장전수학회 (Jangjeon Mathematical Society)|2015.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제18권 제3호|pp. 307-312|DOI 10.17777/pjms.2015.18.3.006

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참고문헌

키워드

Euler polynomialBernoulli polynomialAbel polynomial
주제분류수학

초록

In this paper, we introduce the new concept of degenerate Cauchy numbers and polynomials which are derived from the degenerate function of et and investigate some properties of those new class of numbers and polynomials.

Abstract

In this paper, we introduce the new concept of degenerate Cauchy numbers and polynomials which are derived from the degenerate function of et and investigate some properties of those new class of numbers and polynomials.

참고문헌 (12)

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  6. D. S. Kim, "A note on degenerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp", Appl. Math. Comput., 259, pp.198~204 (2015)
  7. T. Kim, "Barnes' type multiple degenerate Bernoulli and Euler polynomials", Appl. Math. Comput., 258, pp.556~564 (2015)
  8. T. Kim, "Multiple p-adic L-function", Russ. J. Math. Phys., 13(2), pp.151~157 (2008)
  9. D. Merlini, "The Cauchy numbers", Discrete Math., 306, pp.1906~1920 (2006)
  10. S. Roman, "The umbral calculus" (2005), Dover
  11. K. Shiratani, "An application of p-adic convolutions", Mem. Fac. Sci. Kyushu Univ. Ser. A, 36(1), pp.73~83 (1982)
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관련 논문AI추천

ON THE DEGENERATE HIGHER-ORDER CAUCHY NUMBERS AND POLYNOMIALS김태균장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제3호Degenerate Cauchy numbers and polynomials of the second kind김태균장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호DEGENERATE CAUCHY NUMBERS AND POLYNOMIALS OF THE FOURTH KIND표성수장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제1호A NOTE ON DEGENERATE CHANGHEE NUMBERS AND POLYNOMIALS김태균, H. I. Kwon, J.-J. SEO장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호SOME PROPERTIES OF GENERALIZED DEGENERATE BERNOULLI POLYNOMIALS AND NUMBERS권종겸, 김원주, Lee-Chae Jang장전수학회 · Advanced Studies in Contemporary Mathematics2022 · 제32권 제4호ON THE GENERALIZED DEGENERATE EULER NUMBERS AND POLYNOMIALS김태균, J. J. Seo장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호

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