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Applied Mathematics in Science and Engineering Volume 30, 2022 - Issue 1
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Research Article

Normal ordering of degenerate integral powers of number operator and its applications

Taekyun Kima Department of Mathematics, Kwangwoon University, Seoul, Republic of KoreaView further author information
,
Dae San Kimb Department of Mathematics, Sogang University, Seoul, Republic of KoreaView further author information
&
Hye Kyung Kimc Department of Mathematics Education, Daegu Catholic University, Gyeonsang, Republic of KoreaCorrespondence[email protected]
View further author information
Pages 440-447 | Received 31 Mar 2022, Accepted 24 May 2022, Published online: 30 May 2022

References

  • Carlitz L. Degenerate Stirling, Bernoulli and Eulerian numbers. Utilitas Math. 1979;15:51–88.
  • Kim DS, Kim T. A note on a new type of degenerate Bernoulli numbers. Russ J Math Phys. 2020;27(2):227–235.
  • Kim T, Kim DS. On some degenerate differential and degenerate difference operator. Russ J Math Phys. 2022;29(1):37–46.
  • Kim T, Kim DS, Dolgy DV. On partially degenerate Bell numbers and polynomials. Proc Jangjeon Math Soc. 2017;20(3):337–345.
  • Kim T, Kim DS, Jang L-C, et al. Representations of degenerate Hermite polynomials. Adv Appl Math. 2022;139:Paper No. 102359.
  • Kim T, Kim DS. Some identities on truncated polynomials associated with degenerate Bell polynomials. Russ J Math Phys. 2021;28(3):342–355.
  • Araci S. A new class of Bernoulli polynomials attached to polyexponential functions and related identities. Adv Stud Contemp Math (Kyungshang). 2021;31(2):195–204.
  • Jang L, Kim DS, Kim H, et al. Study of degenerate poly-Bernoulli polynomials by λ-umbral calculus. CMES Comput Model Eng Sci. 2021;129(1):393–408.
  • Kim T, Kim DS, Kim HK, et al. Some properties on degenerate Fubini polynomials. Appl Math Sci Eng. 2022;30(1):235–248.
  • Kim T, Kim DS, Lee H, et al. New properties on degenerate Bell polynomials. Complexity. 2021;2021:Article ID 7648994, 12 pages.
  • Katriel J. Bell numbers and coherent states. Phys Lett A. 2000;273(3):159–161.
  • Perelomov A. Generalized coherent states and their applications. Texts and Monographs in Physics. Berlin: Springer-Verlag; 1986. p. xii+320.

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