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A NOTE ON DEGENERATE TYPE 2 MULTI-POLY-GENOCCHI POLYNOMIALS

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In this paper, we introduce the degenerate multiple polylogrithm functions which are multiple versions of the degenerate modified polylogarithm functions. Then we consider the degenerate type 2 multi-poly-Genocchi polynomials which are defined by using these functions and obtain explicit expressions and some properties for these polynomials.

Abstract

In this paper, we introduce the degenerate multiple polylogrithm functions which are multiple versions of the degenerate modified polylogarithm functions. Then we consider the degenerate type 2 multi-poly-Genocchi polynomials which are defined by using these functions and obtain explicit expressions and some properties for these polynomials.

참고문헌 (16)

  1. A. Bayad, "Multiple polylogarithms and multi-poly-Bernoulli polynomials", Funct. et Approx, 46(1), pp.45~61 (2012)[DOI]
  2. L. Carliz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math, 15, pp.51~88 (1979)
  3. UGUR DURAN, "HERMITE BASED POLY-BERNOULLI POLYNOMIALS WITH A q-PARAMETER", Advanced Studies in Contemporary Mathematics, 28(2), pp.285~296 (2018), 장전수학회[DOI]
  4. G.H. Hardy, "On a class a functions", Proc. London Math. Soc, 2(3), pp.441~460 (1905)
  5. D.S. Kim, "A note on polyexponential and unipoly functions", Russ. J. Math. Phys, 26(1), pp.40~49 (2019)
  6. 김태균, "A NOTE ON DEGENERATE MULTI-POLY-GENOCCHI POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 30(3), pp.447~454 (2020), 장전수학회
  7. D.S. Kim, "A note on a new type of degenerate Bernoulli numbers", Russ. J. Math. Phys, 27(2), pp.227~235 (2020)
  8. T. Kim, "Degenerate polyexponential functions and type 2 degenerate poly-Bernoulli numbers and polynomials", Adv. Difference Equ, pp.168~ (2020)
  9. T. Kim, "A note on degenerate Genocchi and poly-Genocchi numbers and polynomials", J. Inequal. Appl (2020)
  10. D.S. Kim, "Symnmetric identities of higher-order degenerate Euler polynomails", 1~7 (2020)
  11. T. Kim, "Degenerate polyexponential functions and degenerate Bell polynomials", J. Math. Anal. Appl, 487(2), pp.17~ (2020)
  12. T. Kim, "Degenerate binomial coefficients and degenerate hypergeometric functions", Adv. Difference Equ, pp.17~ (2020)
  13. T. Kim, "Degenerate Laplace transform and degenerate gamma function", Russ. J. Math. Phys, 24(2), pp.241248~ (2017)
  14. H.K. Kim, "the Degenerate Poly-Cauchy Polynomials and Numbers of the Second Kind", Symmetry, 12(7), pp.1066~ (2020)
  15. 권종겸, "A NOTE ON THE TYPE 2 POLY-APOSTOL-BERNOULLI POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 30(2), pp.253~262 (2020), 장전수학회
  16. D.S. Lee, "Type 2 Degenerate Poly-Euler Polynomials", Symmetry, 12(6), pp.1011~ (2020)

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