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A note on type 2 degenerate multi-poly-Bernoulli polynomials of the second kind

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In this paper, we introduce type 2 degenerate multi-poly- Bernoulli polynomials of the second kind which are defined by using the degenerate multi polyexponential function. We investigate some prop- erties of those numbers and polynomials. Also, we give some identities and relations for the degenerate multi-poly-Bernoulli polynomials and numbers of the second.

Abstract

In this paper, we introduce type 2 degenerate multi-poly- Bernoulli polynomials of the second kind which are defined by using the degenerate multi polyexponential function. We investigate some prop- erties of those numbers and polynomials. Also, we give some identities and relations for the degenerate multi-poly-Bernoulli polynomials and numbers of the second.

참고문헌 (30)

  1. Carlitz, L., "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  2. Carlitz, L., "A degenerate Staudt-Clausen theorem", Arch. Math. (Basel), 7, pp.28~33 (1956)
  3. Duran, U, "Modified degenerate Carlitz's q-Bernoulli polynomials and numbers with weight (α, β)", Int. J. Nonlinear Anal. Appl, 8(2), pp.135~144 (2017)
  4. Duran, U, "Novel identities of symmerty for Carlitz's twisted q-Bernoulli polynomials under S - 4", Int. J. Pure and Appl. Math, 109(3), pp.673~680 (2016)
  5. Hiba Haroon, "Degenerate Bernoulli numbers and polynomials associated with degenerate Hermite polynomials", 대한수학회논문집, 33(2), pp.651~669 (2018), 대한수학회
  6. Khan, W.A, "Note on the type 2 multi poly-Euler polynomials", Symmetry, 12(1691), pp.1~10 (2020)
  7. Khan, W.A., "Degenerate Hermite-Bernoulli numbers and polynomials of the second kind", Prespacetime Journal, 7(9), pp.1297~1305 (2016)
  8. 칸, "A new class of degenerate Frobenius-Euler-Hermite polynomials", Advanced Studies in Contemporary Mathematics, 28(4), pp.567~576 (2018), 장전수학회[DOI]
  9. Khan, W.A., "A note on degenerate Hermite-poly-Bernoulli numbers and polynomials", J. Classical Anal, 8(1), pp.65~76 (2016)
  10. Khan, W.A, "Multiple poly-Bernoulli polynomials of the second kind associated with Hermite polynomials", Fasciculi Mathematici, 58, pp.97~112 (2017)
  11. Khan, W.A., "The 3-variable Hermite poly-Bernoulli polynomials of the second kind", Nonlinear Func. Anal. Appl, 22(5), pp.1013~1027 (2017)
  12. 김대산, "SOME IDENTITIES FOR BERNOULLI NUMBERS OF THE SECOND KIND ARISING FROM A NON-LINEAR DIFFERENTIAL EQUATION", 대한수학회보, 52(6), pp.2001~2010 (2015), 대한수학회
  13. Kim, D.S, "A note on polyexponential and unipoly functions", Russ. J. Math. Phys. bf, 26(1), pp.40~49 (2019)
  14. 김택연, "A note on degenerate stirling polynomials of the second kind", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 20(3), pp.319~332 (2017), 장전수학회[DOI]
  15. Kim, T., "Some identities on type 2 degener-ate Bernoulli polynomials of the second kind", Symmetry, 12(4), pp.510~ (2020)
  16. Kim, T., "Degenerate polyexponential functions and degenerate Bell poly-nomials", J. Math. Anal. Appl, 487(2), pp.124017~ (2020)
  17. Kim, D.S., "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math. Phys, 27(2), pp.227~235 (2020)
  18. Kim, T., "Degenerate Stirling polynomials of the second kind and some applications", Symmetry, 11(8), pp.1046~ (2019)
  19. Kim, T., "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241~248 (2017)
  20. Kim, T, "A note on parametric kinds of the degenerate poly-Bernoulli and poly-Genocchi polynomials", Symmetry, 12(4), pp.614~ (2020)
  21. Kim, T, "Degenerate polyexpnential functions and type 2 degenerate poly-Bernoulli numbers and polynomials", Adv. Differ. Equ, 2020, pp.168~179 (2020)
  22. Kim, T, "A note on degenerate Genocchi and poly-Bernoulli numbers and polynomials", J. Ineq. Appl, 2020, pp.110~122 (2020)
  23. "2020", ~
  24. "2020", ~
  25. Kim, T, "A note on poly-Bernoulli numbers and polynomials of the second kind", Adv. Diiffe. Eqn, 2014, pp.219~ (2014)
  26. F. Qi, "MULTIPLE-POLY-BERNOULLI POLYNOMIALS OF THE SECOND KIND", Advanced Studies in Contemporary Mathematics, 25(1), pp.1~7 (2015), 장전수학회
  27. Roman, S., "The umbral calculus", Pure App. Math, 111 (1984), Academic Press, Inc
  28. Sharma, S.K, "New type of degenerate Daehee polynomials of the second kind", Adv. Differ. Equ, 2020, pp.428~441 (2020)
  29. Sharma, S.K, "Construction of the type 2 degen-erate central Fubini polynomials and certain its properties", Adv. Differ. Equ, 2020, pp.587~600 (2020)
  30. Sharma, S.K., "A note on degenerate poly-Genocchi polynomials", Int. J. Adv. Appl. Sci, 7(5), pp.1~5 (2020)

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