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A SERIES TRANSFORMATION FORMULA AND RELATED DEGENERATE POLYNOMIALS

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The aim of this paper is to express several identities involving ‘degenerate formal power series’ as those including degenerate Stirling numbers of the second kind, degenerate Bell polynomials, degenerate Fubini polynomials and degenerate poly-Bernoulli polynomials.

Abstract

The aim of this paper is to express several identities involving ‘degenerate formal power series’ as those including degenerate Stirling numbers of the second kind, degenerate Bell polynomials, degenerate Fubini polynomials and degenerate poly-Bernoulli polynomials.

참고문헌 (18)

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  4. Carlitz, L, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  5. Kim, T., "A study on λ-Shffer sequences by other λ-Shffer sequences", J. Nonlinear Convex. Anal, 23(2), pp.321~336 (2022)
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  9. Kim, H. K., "Fully degenerate Bell polynomials associated with degenerate Poisson random variables", Open Math, 19(1), pp.284~296 (2021)
  10. Kim, T., "Some Identities on Truncated Polynomials Associated with Degenerate Bell Polynomials", Russ. J. Math. Phys, 28(3), pp.342~355 (2021)
  11. Kim, T., "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241~248 (2017)
  12. Kim, T., "Note on the degenerate gamma function", Russ. J. Math. Phys, 27(3), pp.352~358 (2020)
  13. 김택연, "On partially degenerate Bell numbers and polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.337~346 (2017), 장전수학회[DOI]
  14. 김택연, "A NOTE ON DEGENERATE FUBINI POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(4), pp.521~531 (2017), 장전수학회[DOI]
  15. 권종겸, "On the some identities of the type 2 Daehee and Changhee polynomials arising from p-adic integrals on Z_p", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 22(3), pp.487~498 (2019), 장전수학회
  16. 박진우, "SOME IDENTITIES OF THE DEGENERATE BERNOULLI POLYNOMIALS OF THE SECOND KIND ARISING FROM λ-SHEFFER SEQUENCES", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 24(3), pp.323~342 (2021), 장전수학회
  17. Roman, S., "The umbral calculus, Pure and Applied Mathematics 111" (1984), Academic Press, Inc
  18. Yilmaz Simsek, "IDENTITIES AND RELATIONS RELATED TO COMBINATORIAL NUMBERS AND POLYNOMIALS", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(1), pp.127~135 (2017), 장전수학회[DOI]

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