Czasopismo
2022
|
Vol. 55, nr 1
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843--865
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the view point of degenerate umbral calculus and investigate some properties related to those sequences. In addition, we give some new identities associated with q-special polynomials arising from our investigation.
Czasopismo
Rocznik
Tom
Strony
843--865
Opis fizyczny
Bibliogr. 39 poz.
Twórcy
autor
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea, kwangwoonmath@kw.ac.kr
autor
- Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea, dskim@sogang.ac.kr
autor
- Department of Mathematics Education, Daegu Catholic University, Gyeongsan 38430, Republic of Korea, hkkim@cu.ac.kr
Bibliografia
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- [17] T. Kim, q-Generalized Euler numbers and polynomials, Russ. J. Math. Phys. 13 (2006), 293–298, DOI: https://doi.org/10.1134/S1061920806030058.
- [18] T. Kim, q-Bernoulli numbers and polynomials associated with Gaussian binomial coefficients, Russ. J. Math. Phys. 15 (2008), no. 1, 51–57, DOI: https://doi.org/10.1134/S1061920808010068.
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- [22] V. Kurt and M. Cenkci, A new approach to q-Genocchi numbers and polynomials, Bull Korean Math Soc. 47 (2010), 575–583, DOI: https://doi.org/10.4134/BKMS.2010.47.3.575.
- [23] N. I. Mahmudov, On a class of q-Bernoulli and q-Euler polynomials, Adv. Difference Equ. 2013 (2013), 108, 11pp. DOI: https://doi.org/10.1186/1687-1847-2013-108.
- [24] N. I. Mahmudov and M. E. Keleshteri, On a class of generalized q-Bernoulli and q-Euler polynomials, Adv. Difference Equ. 2013 (2013), 115, DOI: https://doi.org/10.1186/1687-1847-2013-115.
- [25] S.-H. Rim, A. Bayad, E.-J. Moon, J.-H. Jin, and S.-J. Lee, A new construction on the q-Bernoulli polynomials, Adv. Difference Equ. 2011 (2011), 34, DOI: https://doi.org/10.1186/1687-1847-2011-34.
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- [29] L-C. Jang, D. S. Kim, H. Kim, T. Kim, and H. Lee, Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus, CMES. Sci. 129 (2021), no. 1, 393–408, DOI: https://doi.org/10.32604/cmes.2021.016917.
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Uwagi
PL
Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).
Typ dokumentu
Bibliografia
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Identyfikator YADDA
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