Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum Probabilistic degenerate Stirling polynomials of the second kind and their applications. (English) Zbl 07803540 Math. Comput. Model. Dyn. Syst. 30, No. 1, 16-30 (2024). MSC: 11B73 05A19 11B68 60E99 PDFBibTeX XMLCite \textit{T. Kim} et al., Math. Comput. Model. Dyn. Syst. 30, No. 1, 16--30 (2024; Zbl 07803540) Full Text: DOI OA License
Xu, R.; Ma, Y.; Kim, T.; Kim, D. S.; Boulaars, S. Probabilistic central Bell polynomials. arXiv:2403.00468 Preprint, arXiv:2403.00468 [math.NT] (2024). MSC: 11B73 11B83 BibTeX Cite \textit{R. Xu} et al., ``Probabilistic central Bell polynomials'', Preprint, arXiv:2403.00468 [math.NT] (2024) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Probabilistic derangement numbers and polynomials. arXiv:2401.03986 Preprint, arXiv:2401.03986 [math.PR] (2024). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Probabilistic derangement numbers and polynomials'', Preprint, arXiv:2401.03986 [math.PR] (2024) Full Text: arXiv OA License
Xu, Rongrong; Kim, Taekyun; Kim, Dae San; Ma, Yuankui Probabilistic degenerate Fubini polynomials associated with random variables. arXiv:2401.02638 Preprint, arXiv:2401.02638 [math.PR] (2024). MSC: 11B73 11B83 BibTeX Cite \textit{R. Xu} et al., ``Probabilistic degenerate Fubini polynomials associated with random variables'', Preprint, arXiv:2401.02638 [math.PR] (2024) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Some results on degenerate Fubini and degenerate Bell polynomials. (English) Zbl 07817613 Appl. Anal. Discrete Math. 17, No. 2, 548-560 (2023). MSC: 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Appl. Anal. Discrete Math. 17, No. 2, 548--560 (2023; Zbl 07817613) Full Text: DOI arXiv
San Kim, Dae; Kim, Taekyun Central factorial numbers associated with sequences of polynomials. (English) Zbl 07783862 Math. Methods Appl. Sci. 46, No. 9, 10348-10383 (2023). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{D. San Kim} and \textit{T. Kim}, Math. Methods Appl. Sci. 46, No. 9, 10348--10383 (2023; Zbl 07783862) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun Stirling numbers associated with sequences of polynomials. (English) Zbl 07778983 Appl. Comput. Math. 22, No. 1, 80-115 (2023). MSC: 11B73 11B83 05A19 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Appl. Comput. Math. 22, No. 1, 80--115 (2023; Zbl 07778983) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities of degenerate harmonic and degenerate hyperharmonic numbers arising from umbral calculus. (English) Zbl 1527.11014 Open Math. 21, Article ID 20230124, 12 p. (2023). MSC: 11B65 05A40 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 21, Article ID 20230124, 12 p. (2023; Zbl 1527.11014) Full Text: DOI OA License
Dolgy, Dmitry V.; Kim, Dae San; Kim, Hye Kyung; Kim, Taekyun Degenerate harmonic and hyperharmonic numbers. (English) Zbl 07731435 Proc. Jangjeon Math. Soc. 26, No. 3, 259-268 (2023). MSC: 05A19 11B73 11B83 11B37 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., Proc. Jangjeon Math. Soc. 26, No. 3, 259--268 (2023; Zbl 07731435) Full Text: DOI
Kim, Taekyun; Kim, Dae San A note on degenerate multi-poly-Bernoulli numbers and polynomials. (English) Zbl 1524.11058 Appl. Anal. Discrete Math. 17, No. 1, 47-56 (2023). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Appl. Anal. Discrete Math. 17, No. 1, 47--56 (2023; Zbl 1524.11058) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun Representing polynomials by degenerate Bernoulli polynomials. (English) Zbl 07707551 Quaest. Math. 46, No. 5, 959-980 (2023). MSC: 11B68 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Quaest. Math. 46, No. 5, 959--980 (2023; Zbl 07707551) Full Text: DOI arXiv
Kim, Dae San; Kim, Hyekyung; Kim, Taekyun Some identities on generalized harmonic numbers and generalized harmonic functions. (English) Zbl 07690114 Demonstr. Math. 56, Article ID 20220229, 10 p. (2023). MSC: 11B68 11B83 11M35 26A42 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Demonstr. Math. 56, Article ID 20220229, 10 p. (2023; Zbl 07690114) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San Combinatorial identities involving degenerate harmonic and hyperharmonic numbers. (English) Zbl 07686841 Adv. Appl. Math. 148, Article ID 102535, 15 p. (2023). MSC: 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Adv. Appl. Math. 148, Article ID 102535, 15 p. (2023; Zbl 07686841) Full Text: DOI
Kim, T. K.; Kim, D. S. Some identities involving degenerate Stirling numbers associated with several degenerate polynomials and numbers. (English) Zbl 1517.11020 Russ. J. Math. Phys. 30, No. 1, 62-75 (2023). MSC: 11B73 11B68 11B83 05A19 PDFBibTeX XMLCite \textit{T. K. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 30, No. 1, 62--75 (2023; Zbl 1517.11020) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San Some identities on degenerate hyperharmonic numbers. (English) Zbl 1527.11020 Georgian Math. J. 30, No. 2, 255-262 (2023). MSC: 11B83 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Georgian Math. J. 30, No. 2, 255--262 (2023; Zbl 1527.11020) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San Some identities on degenerate harmonic and degenerate higher-order harmonic numbers. arXiv:2308.15013 Preprint, arXiv:2308.15013 [math.NT] (2023). MSC: 11B83 11S40 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Some identities on degenerate harmonic and degenerate higher-order harmonic numbers'', Preprint, arXiv:2308.15013 [math.NT] (2023) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Higher-order degenerate harmonic numbers related to degenerate Riemann zeta function. arXiv:2308.00901 Preprint, arXiv:2308.00901 [math.NT] (2023). MSC: 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Higher-order degenerate harmonic numbers related to degenerate Riemann zeta function'', Preprint, arXiv:2308.00901 [math.NT] (2023) Full Text: arXiv OA License
Kim, Dae San; Kim, Taekyun Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers. arXiv:2306.12009 Preprint, arXiv:2306.12009 [math.NT] (2023). MSC: 11B73 11B83 BibTeX Cite \textit{D. S. Kim} and \textit{T. Kim}, ``Some numbers and polynomials related to degenerate harmonic and degenerate hyperharmonic numbers'', Preprint, arXiv:2306.12009 [math.NT] (2023) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Generalized degenerate stirling numbers arising from degenerate boson normal ordering. arXiv:2305.04302 Preprint, arXiv:2305.04302 [math.NT] (2023). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Generalized degenerate stirling numbers arising from degenerate boson normal ordering'', Preprint, arXiv:2305.04302 [math.NT] (2023) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities on degenerate hyperbolic functions arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). arXiv:2303.02295 Preprint, arXiv:2303.02295 [math.NT] (2023). MSC: 11S80 11B68 11B83 BibTeX Cite \textit{T. Kim} et al., ``Some identities on degenerate hyperbolic functions arising from $p$-adic integrals on $\mathbb{Z}_p$'', Preprint, arXiv:2303.02295 [math.NT] (2023) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Multi-Stirling numbers of the second kind. arXiv:2303.00275 Preprint, arXiv:2303.00275 [math.NT] (2023). MSC: 11B68 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Multi-Stirling numbers of the second kind'', Preprint, arXiv:2303.00275 [math.NT] (2023) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; park, Jin-Woo; Kwon, Jongkyum A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials. arXiv:2301.05929 Preprint, arXiv:2301.05929 [math.NT] (2023). MSC: 11B68 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``A note on multi-Euler-Genocchi and degenerate multi-Euler-Genocchi polynomials'', Preprint, arXiv:2301.05929 [math.NT] (2023) Full Text: arXiv OA License
Kim, Dae San; Kim, Hye Kyung; Kim, Taekyun A note on infinite series whose terms involve truncated degenerate exponentials. arXiv:2301.03176 Preprint, arXiv:2301.03176 [math.NT] (2023). MSC: 11B83 11B65 11B73 BibTeX Cite \textit{D. S. Kim} et al., ``A note on infinite series whose terms involve truncated degenerate exponentials'', Preprint, arXiv:2301.03176 [math.NT] (2023) Full Text: arXiv OA License
Kim, Hye Kyung; Kim, Dae San; Kim, Taekyun Identities involving degenerate harmonic and degenerate hyperharmonic numbers. arXiv:2301.02861 Preprint, arXiv:2301.02861 [math.NT] (2023). MSC: 05A19 11B73 11B83 BibTeX Cite \textit{H. K. Kim} et al., ``Identities involving degenerate harmonic and degenerate hyperharmonic numbers'', Preprint, arXiv:2301.02861 [math.NT] (2023) Full Text: arXiv OA License
Kim, Dae San; Kim, Taekyun Representations by degenerate Bernoulli polynomials arising from Volkenborn integral. (English) Zbl 1527.05022 Math. Methods Appl. Sci. 45, No. 11, 6615-6634 (2022). MSC: 05A19 05A40 11B73 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Math. Methods Appl. Sci. 45, No. 11, 6615--6634 (2022; Zbl 1527.05022) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Pyo, Uttae; Kwon, Jongkyum On degenerate Bell polynomials associated with special numbers and polynomials. (English) Zbl 1516.11033 Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 423-429 (2022). MSC: 11B73 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 423--429 (2022; Zbl 1516.11033) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities of degenerate poly-\(q\)-Bernoulli and poly-\(q\)-Euler polynomials arising from \(\lambda\)-\(q\)-Sheffer sequences. (English) Zbl 1516.11030 Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 283-301 (2022). MSC: 11B68 11B83 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 32, No. 3, 283--301 (2022; Zbl 1516.11030) Full Text: DOI
Kim, Taekyun; Kim, Dae San Dimorphic Mersenne numbers and their applications. (English) Zbl 1516.11029 Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 435-441 (2022). MSC: 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Adv. Stud. Contemp. Math., Kyungshang 32, No. 4, 435--441 (2022; Zbl 1516.11029) Full Text: DOI arXiv
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Park, Seongho; Kim, Taekyun A study on multi-Stirling numbers of the first kind. (English) Zbl 1517.11021 Fractals 30, No. 10, Article ID 2240258, 7 p. (2022). MSC: 11B73 11B68 PDFBibTeX XMLCite \textit{Y. Ma} et al., Fractals 30, No. 10, Article ID 2240258, 7 p. (2022; Zbl 1517.11021) Full Text: DOI
Ma, Yuankui; Kim, Taekyun; Lee, Hyunseok; Kim, Dae San Some identities of fully degenerate dowling and fully degenerate Bell polynomials arising from \(\lambda\)-umbral calculus. (English) Zbl 1517.11022 Fractals 30, No. 10, Article ID 2240257, 10 p. (2022). MSC: 11B73 05A40 PDFBibTeX XMLCite \textit{Y. Ma} et al., Fractals 30, No. 10, Article ID 2240257, 10 p. (2022; Zbl 1517.11022) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung On \(Q\)-derangement numbers and polynomials. (English) Zbl 1509.05007 Fractals 30, No. 10, Article ID 2240200, 7 p. (2022). MSC: 05A05 05A15 05A30 11B73 11B75 PDFBibTeX XMLCite \textit{T. Kim} et al., Fractals 30, No. 10, Article ID 2240200, 7 p. (2022; Zbl 1509.05007) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Park, Jin-Woo; Boulaaras, Salah Mahmoud A finite sum involving generalized falling factorial polynomials and degenerate Eulerian polynomials. (English) Zbl 1523.11045 Fractals 30, No. 10, Article ID 2240191, 9 p. (2022). MSC: 11B65 11B68 11B73 PDFBibTeX XMLCite \textit{T. Kim} et al., Fractals 30, No. 10, Article ID 2240191, 9 p. (2022; Zbl 1523.11045) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Hyekyung Study on \(r\)-truncated degenerate Stirling numbers of the second kind. (English) Zbl 1510.11081 Open Math. 20, 1685-1695 (2022). MSC: 11B73 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 20, 1685--1695 (2022; Zbl 1510.11081) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung \(\lambda\)-\(q\)-Sheffer sequence and its applications. (English) Zbl 1506.05029 Demonstr. Math. 55, 843-865 (2022). Reviewer: Uğur Duran (Iskenderun) MSC: 05A30 05A40 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Demonstr. Math. 55, 843--865 (2022; Zbl 1506.05029) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Some identities related to degenerate Stirling numbers of the second kind. (English) Zbl 1510.11082 Demonstr. Math. 55, 812-821 (2022). MSC: 11B73 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Demonstr. Math. 55, 812--821 (2022; Zbl 1510.11082) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Park, Seongho; Park, Jin Woo A study on \(\lambda\)-Sheffer sequences by other \(\lambda\)-Sheffer sequences. (English) Zbl 1498.05039 J. Nonlinear Convex Anal. 23, No. 2, 321-336 (2022). MSC: 05A40 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Nonlinear Convex Anal. 23, No. 2, 321--336 (2022; Zbl 1498.05039) Full Text: Link
Kim, Taekyun; Kim, Dae San Representation by degenerate Frobenius-Euler polynomials. (English) Zbl 1510.11079 Georgian Math. J. 29, No. 5, 741-754 (2022). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Georgian Math. J. 29, No. 5, 741--754 (2022; Zbl 1510.11079) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Park, Jin-Woo Fully degenerate Bernoulli numbers and polynomials. (English) Zbl 1500.11020 Demonstr. Math. 55, 604-614 (2022). MSC: 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Demonstr. Math. 55, 604--614 (2022; Zbl 1500.11020) Full Text: DOI
Kim, T.; Kim, D. S. Degenerate Whitney numbers of first and second kind of Dowling lattices. (English) Zbl 1507.11022 Russ. J. Math. Phys. 29, No. 3, 358-377 (2022). MSC: 11B83 05A15 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 29, No. 3, 358--377 (2022; Zbl 1507.11022) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum A series transformation formula and related degenerate polynomials. (English) Zbl 1497.11056 Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 121-136 (2022). MSC: 11B73 11B68 05A15 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 32, No. 2, 121--136 (2022; Zbl 1497.11056) Full Text: arXiv
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok Some identities involving degenerate \(r\)-Stirling numbers. (English) Zbl 1497.11057 Proc. Jangjeon Math. Soc. 25, No. 2, 245-252 (2022). MSC: 11B73 11B83 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 25, No. 2, 245--252 (2022; Zbl 1497.11057) Full Text: arXiv
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Hanyoung Representations of degenerate Hermite polynomials. (English) Zbl 1491.05036 Adv. Appl. Math. 139, Article ID 102359, 18 p. (2022). MSC: 05A40 11B68 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Appl. Math. 139, Article ID 102359, 18 p. (2022; Zbl 1491.05036) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San Some identities on degenerate Bell polynomials and their related identities. (English) Zbl 1492.11039 Proc. Jangjeon Math. Soc. 25, No. 1, 1-11 (2022). MSC: 11B68 11B73 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Proc. Jangjeon Math. Soc. 25, No. 1, 1--11 (2022; Zbl 1492.11039) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Kwon, Jongkyum Representations by degenerate Daehee polynomials. (English) Zbl 1485.05010 Open Math. 20, 179-194 (2022). MSC: 05A19 05A40 11B68 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 20, 179--194 (2022; Zbl 1485.05010) Full Text: DOI
Kim, T.; Kim, D. S. On some degenerate differential and degenerate difference operators. (English) Zbl 07500881 Russ. J. Math. Phys. 29, No. 1, 37-46 (2022). MSC: 33C47 39A70 47B39 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 29, No. 1, 37--46 (2022; Zbl 07500881) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Kwon, Jongkyum On some summation formulas. (English) Zbl 1483.11044 Demonstr. Math. 55, 1-7 (2022). MSC: 11B83 26A42 PDFBibTeX XMLCite \textit{T. Kim} et al., Demonstr. Math. 55, 1--7 (2022; Zbl 1483.11044) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum Some identities related to degenerate r-Bell and degenerate Fubini polynomials. arXiv:2212.05252 Preprint, arXiv:2212.05252 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Some identities related to degenerate r-Bell and degenerate Fubini polynomials'', Preprint, arXiv:2212.05252 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Some results on degenerate harmonic numbers and degenerate Fubini polynomials. arXiv:2208.12998 Preprint, arXiv:2208.12998 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Some results on degenerate harmonic numbers and degenerate Fubini polynomials'', Preprint, arXiv:2208.12998 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung On generalized degenerate Euler-Genocchi polynomials. arXiv:2208.07549 Preprint, arXiv:2208.07549 [math.NT] (2022). MSC: 11B68 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``On generalized degenerate Euler-Genocchi polynomials'', Preprint, arXiv:2208.07549 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san; Kim, Hye Kyung Degenerate r-Bell polynomials arising from degenerate normal odering. arXiv:2208.05465 Preprint, arXiv:2208.05465 [math.NT] (2022). MSC: 11B73 11B83 81Q99 BibTeX Cite \textit{T. Kim} et al., ``Degenerate r-Bell polynomials arising from degenerate normal odering'', Preprint, arXiv:2208.05465 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Hye Kyung Poisson degenerate central moments related to degenerate Dowling and degenerate r-Dowling polynomials. arXiv:2206.12184 Preprint, arXiv:2206.12184 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Poisson degenerate central moments related to degenerate Dowling and degenerate r-Dowling polynomials'', Preprint, arXiv:2206.12184 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Degenerate r-associated Stirling numbers. arXiv:2206.10194 Preprint, arXiv:2206.10194 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Degenerate r-associated Stirling numbers'', Preprint, arXiv:2206.10194 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san; Kim, Hye Kyung Normal ordering of degenerate integral powers of number operator and its applications. arXiv:2204.02595 Preprint, arXiv:2204.02595 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Normal ordering of degenerate integral powers of number operator and its applications'', Preprint, arXiv:2204.02595 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san Some identities involving degenerate Stirling numbers arising from normal ordering. arXiv:2204.01252 Preprint, arXiv:2204.01252 [math.NT] (2022). MSC: 11B83 11B73 BibTeX Cite \textit{T. Kim} and \textit{D. s. Kim}, ``Some identities involving degenerate Stirling numbers arising from normal ordering'', Preprint, arXiv:2204.01252 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san A new Approach to fully degenerate Bernoulli numbers and polynomials. arXiv:2203.03855 Preprint, arXiv:2203.03855 [math.NT] (2022). MSC: 11B68 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. s. Kim}, ``A new Approach to fully degenerate Bernoulli numbers and polynomials'', Preprint, arXiv:2203.03855 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San Some formulas for fully degenerate Bernoulli numbers and polynomials. arXiv:2202.04819 Preprint, arXiv:2202.04819 [math.NT] (2022). MSC: 11B68 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. S. Kim}, ``Some formulas for fully degenerate Bernoulli numbers and polynomials'', Preprint, arXiv:2202.04819 [math.NT] (2022) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san Some identities and properties on degenerate Stirling numbers. arXiv:2201.07431 Preprint, arXiv:2201.07431 [math.NT] (2022). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} and \textit{D. s. Kim}, ``Some identities and properties on degenerate Stirling numbers'', Preprint, arXiv:2201.07431 [math.NT] (2022) Full Text: arXiv OA License
Kim, Dae San; Kim, Taekyun; Kim, Han Young; Kwon, J. Identities of symmetry for Euler polynomials and alternating power sums. (English) Zbl 1524.11056 Proc. Jangjeon Math. Soc. 24, No. 2, 153-170 (2021). MSC: 11B68 11S80 05A19 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Proc. Jangjeon Math. Soc. 24, No. 2, 153--170 (2021; Zbl 1524.11056) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Jongkyum; Lee, Si-Hyeon; Park, Seongho On \(\lambda\)-linear functionals arising from \(p\)-adic integrals on \(\mathbb{Z}_p\). (English) Zbl 1494.05015 Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021). MSC: 05A40 11S80 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2021, Paper No. 479, 12 p. (2021; Zbl 1494.05015) Full Text: DOI
Kim, Taekyun; Dolgy, Dmitry V.; Kim, Dae San; Kim, Hye Kyung; Park, Seong Ho A note on degenerate generalized Laguerre polynomials and Lah numbers. (English) Zbl 1494.33006 Adv. Difference Equ. 2021, Paper No. 421, 12 p. (2021). MSC: 33C45 11B73 11B83 05A15 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2021, Paper No. 421, 12 p. (2021; Zbl 1494.33006) Full Text: DOI arXiv
Kim, Dae San; Kim, Hye Kyung; Kim, Taekyun; Lee, Hyunseok; Park, Seongho Multi-Lah numbers and multi-Stirling numbers of the first kind. (English) Zbl 1494.11023 Adv. Difference Equ. 2021, Paper No. 411, 9 p. (2021). MSC: 11B73 11B68 33B30 05A19 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2021, Paper No. 411, 9 p. (2021; Zbl 1494.11023) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun; Lee, Si-Hyeon; Park, Jin-Woo Some new formulas of complete and incomplete degenerate Bell polynomials. (English) Zbl 1494.11024 Adv. Difference Equ. 2021, Paper No. 326, 10 p. (2021). MSC: 11B73 11B83 05A10 05A19 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2021, Paper No. 326, 10 p. (2021; Zbl 1494.11024) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok; Park, Seong-Ho Some properties of degenerate complete and partial Bell polynomials. (English) Zbl 1494.11027 Adv. Difference Equ. 2021, Paper No. 304, 12 p. (2021). MSC: 11B73 11B83 05A15 05A19 05A10 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2021, Paper No. 304, 12 p. (2021; Zbl 1494.11027) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Hanyoung Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function. (English) Zbl 1494.11019 Adv. Difference Equ. 2021, Paper No. 175, 12 p. (2021). MSC: 11B68 11B73 33C05 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2021, Paper No. 175, 12 p. (2021; Zbl 1494.11019) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok; Kim, Han-Young Complete and incomplete Bell polynomials associated with Lah-Bell numbers and polynomials. (English) Zbl 1494.11026 Adv. Difference Equ. 2021, Paper No. 101, 12 p. (2021). MSC: 11B73 11B83 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2021, Paper No. 101, 12 p. (2021; Zbl 1494.11026) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum A note on \(q\)-analogue of Catalan numbers arising from fermionic \(p\)-adic \(q\)-integral on \(\mathbb{Z}_p\). (English) Zbl 1492.11041 Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 279-286 (2021). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 31, No. 3, 279--286 (2021; Zbl 1492.11041) Full Text: DOI
Kim, Dae San; Kim, Taekyun \(r\)-extended Lah-Bell numbers and polynomials associated with \(r\)-Lah numbers. (English) Zbl 1492.11052 Proc. Jangjeon Math. Soc. 24, No. 1, 1-10 (2021). MSC: 11B73 11B83 60C05 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Proc. Jangjeon Math. Soc. 24, No. 1, 1--10 (2021; Zbl 1492.11052) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Kwon, Jongkyum Sums of finite products of Chebyshev polynomials of two different types. (English) Zbl 1510.33010 AIMS Math. 6, No. 11, 12528-12542 (2021). MSC: 33C45 33C05 PDFBibTeX XMLCite \textit{T. Kim} et al., AIMS Math. 6, No. 11, 12528--12542 (2021; Zbl 1510.33010) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Jang, Lee-Chae A note on degenerate derangement polynomials and numbers. (English) Zbl 1484.11079 AIMS Math. 6, No. 6, 6469-6481 (2021). MSC: 11B73 11B83 60E05 PDFBibTeX XMLCite \textit{T. Kim} et al., AIMS Math. 6, No. 6, 6469--6481 (2021; Zbl 1484.11079) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Park, Jin-Woo On the type 2 poly-Bernoulli polynomials associated with umbral calculus. (English) Zbl 1496.11040 Open Math. 19, 878-887 (2021). MSC: 11B83 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 19, 878--887 (2021; Zbl 1496.11040) Full Text: DOI
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Kim, Hanyoung; Kim, Taekyun Reciprocity of poly-Dedekind-type DC sums involving poly-Euler functions. (English) Zbl 1485.11084 Adv. Difference Equ. 2021, Paper No. 30, 18 p. (2021). MSC: 11F20 11B68 11B83 PDFBibTeX XMLCite \textit{Y. Ma} et al., Adv. Difference Equ. 2021, Paper No. 30, 18 p. (2021; Zbl 1485.11084) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kwon, Jongkyum; Lee, Hyunseok Representations of degenerate poly-Bernoulli polynomials. (English) Zbl 1504.11041 J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2021, Paper No. 58, 12 p. (2021; Zbl 1504.11041) Full Text: DOI arXiv
Kim, T.; Kim, D. S. Some identities on truncated polynomials associated with degenerate Bell polynomials. (English) Zbl 1477.11042 Russ. J. Math. Phys. 28, No. 3, 342-355 (2021). MSC: 11B73 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 28, No. 3, 342--355 (2021; Zbl 1477.11042) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Kwon, Hyuck In Differential equations associated with higher-order Frobenius-Euler numbers revisited. (English) Zbl 1462.05035 Differ. Equ. Dyn. Syst. 29, No. 2, 353-362 (2021). MSC: 05A19 11B83 34A30 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Differ. Equ. Dyn. Syst. 29, No. 2, 353--362 (2021; Zbl 1462.05035) Full Text: DOI
Kim, Dae San; Kim, Taekyun Degenerate Sheffer sequences and \(\lambda \)-Sheffer sequences. (English) Zbl 1471.11110 J. Math. Anal. Appl. 493, No. 1, Article ID 124521, 21 p. (2021). MSC: 11B83 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, J. Math. Anal. Appl. 493, No. 1, Article ID 124521, 21 p. (2021; Zbl 1471.11110) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kwon, Hyunseok; Kwon, Jongkyum On Some Summation Formulas. arXiv:2111.15151 Preprint, arXiv:2111.15151 [math.NT] (2021). MSC: 11B83 BibTeX Cite \textit{T. Kim} et al., ``On Some Summation Formulas'', Preprint, arXiv:2111.15151 [math.NT] (2021) Full Text: arXiv OA License
Kim, Dae san; Kim, Taekyun Representations by ordered Bell and degenerate ordered Bell polynomials. arXiv:2110.03178 Preprint, arXiv:2110.03178 [math.NT] (2021). MSC: 05A19 05A40 11B68 11B83 BibTeX Cite \textit{D. s. Kim} and \textit{T. Kim}, ``Representations by ordered Bell and degenerate ordered Bell polynomials'', Preprint, arXiv:2110.03178 [math.NT] (2021) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Park, Seongho Some new properties on degenerate Bell polynomials. arXiv:2108.06260 Preprint, arXiv:2108.06260 [math.NT] (2021). MSC: 11B73 11B83 BibTeX Cite \textit{T. Kim} et al., ``Some new properties on degenerate Bell polynomials'', Preprint, arXiv:2108.06260 [math.NT] (2021) Full Text: arXiv OA License
Kim, Dae San; Dolgy, Dmitry V.; Kim, Hye-Kyung; Lee, Hyunseok; Kim, Taekyun A new approach to Bell and poly-Bell numbers and polynomials. arXiv:2106.14751 Preprint, arXiv:2106.14751 [math.NT] (2021). MSC: 11B73 11B83 BibTeX Cite \textit{D. S. Kim} et al., ``A new approach to Bell and poly-Bell numbers and polynomials'', Preprint, arXiv:2106.14751 [math.NT] (2021) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae san; Lee, Hyunseok; Park, Seong Ho; Kwon, Jongkyum A study on properties of degenerate and zero-truncated degenerate Poisson random variables. arXiv:2106.13481 Preprint, arXiv:2106.13481 [math.NT] (2021). MSC: 11B73 11B83 11K99 BibTeX Cite \textit{T. Kim} et al., ``A study on properties of degenerate and zero-truncated degenerate Poisson random variables'', Preprint, arXiv:2106.13481 [math.NT] (2021) Full Text: arXiv OA License
Ma, Yuankui; Kim, Taekyun; Kim, Dae San; Lee, Hyunseok Study on q-analogues of Catala-Daehee numbers and polynomials. arXiv:2105.12013 Preprint, arXiv:2105.12013 [math.NT] (2021). MSC: 11B68 11B83 11S80 BibTeX Cite \textit{Y. Ma} et al., ``Study on q-analogues of Catala-Daehee numbers and polynomials'', Preprint, arXiv:2105.12013 [math.NT] (2021) Full Text: arXiv OA License
Kim, Taekyun; Kim, Dae San; Kim, Han-Young; Kwon, Jongkyum A note on degenerate multi-poly-Genocchi polynomials. (English) Zbl 1499.11151 Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 447-454 (2020). MSC: 11B83 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 447--454 (2020; Zbl 1499.11151) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Han-Young; Lee, Hyunseok A note on some identities of Bernoulli numbers arising from Riemann integrals. (English) Zbl 1499.11112 Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 401-406 (2020). MSC: 11B68 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 30, No. 3, 401--406 (2020; Zbl 1499.11112) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Jongkyum; Lee, Hyunseok A note on \(\lambda\)-Bernoulli numbers of the second kind. (English) Zbl 1499.11108 Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 187-195 (2020). MSC: 11B68 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 187--195 (2020; Zbl 1499.11108) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Ryoo, Cheon Seoung Generalized type 2 degenerate Euler numbers. (English) Zbl 1499.05061 Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 165-169 (2020). MSC: 05A19 11B83 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 30, No. 2, 165--169 (2020; Zbl 1499.05061) Full Text: DOI
Kim, Taekyun; Ryoo, Cheon Seoung; Kim, Dae San; Kwon, Jongkyum A difference of sums of finite products of Lucas-balancing polynomials. (English) Zbl 1499.05062 Adv. Stud. Contemp. Math., Kyungshang 30, No. 1, 121-134 (2020). MSC: 05A19 33C05 33C45 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 30, No. 1, 121--134 (2020; Zbl 1499.05062) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kim, Hanyoung; Lee, Hyunseok Two variable degenerate Bell polynomials associated with Poisson degenerate central moments. (English) Zbl 1492.11053 Proc. Jangjeon Math. Soc. 23, No. 4, 587-596 (2020). MSC: 11B73 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Proc. Jangjeon Math. Soc. 23, No. 4, 587--596 (2020; Zbl 1492.11053) Full Text: DOI arXiv
Kim, Dae San; Kim, Taekyun Lah-Bell numbers and polynomials. (English) Zbl 1492.11051 Proc. Jangjeon Math. Soc. 23, No. 4, 577-586 (2020). MSC: 11B73 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Proc. Jangjeon Math. Soc. 23, No. 4, 577--586 (2020; Zbl 1492.11051) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Han-Young; Lee, Hyunseok; Jang, Lee-Chae A family of associated sequences and their representations by Appell polynomials. (English) Zbl 1492.11040 Proc. Jangjeon Math. Soc. 23, No. 4, 445-458 (2020). MSC: 11B68 11B83 05A19 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 23, No. 4, 445--458 (2020; Zbl 1492.11040) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Kim, H. Y. A note on discrete degenerate random variables. (English) Zbl 1491.60016 Proc. Jangjeon Math. Soc. 23, No. 1, 125-135 (2020). MSC: 60C05 11B73 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 23, No. 1, 125--135 (2020; Zbl 1491.60016) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V.; Kwon, Jongkyum A note on sums of finite products of Lucas-balancing polynomials. (English) Zbl 1492.11025 Proc. Jangjeon Math. Soc. 23, No. 1, 1-22 (2020). MSC: 11B39 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Proc. Jangjeon Math. Soc. 23, No. 1, 1--22 (2020; Zbl 1492.11025) Full Text: DOI
Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Kwon, Jongkyum On fully degenerate Bell numbers and polynomials. (English) Zbl 1499.11133 Filomat 34, No. 2, 507-514 (2020). MSC: 11B73 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., Filomat 34, No. 2, 507--514 (2020; Zbl 1499.11133) Full Text: DOI
Kim, Taekyun; Kim, Dae San Some identities on \(\lambda\)-analogues of \(r\)-Stirling numbers of the first kind. (English) Zbl 1499.11135 Filomat 34, No. 2, 451-460 (2020). MSC: 11B73 11B83 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Filomat 34, No. 2, 451--460 (2020; Zbl 1499.11135) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Lee, Hyunseok; Jang, Lee-Chae Identities on poly-Dedekind sums. (English) Zbl 1486.11058 Adv. Difference Equ. 2020, Paper No. 563, 12 p. (2020). MSC: 11F20 11B68 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2020, Paper No. 563, 12 p. (2020; Zbl 1486.11058) Full Text: DOI arXiv
Ma, Yuankui; Kim, Dae San; Kim, Taekyun; Kim, Hanyoung; Lee, Hyunseok Some identities of Lah-Bell polynomials. (English) Zbl 1486.11035 Adv. Difference Equ. 2020, Paper No. 510, 9 p. (2020). MSC: 11B73 05A40 05A19 11B83 PDFBibTeX XMLCite \textit{Y. Ma} et al., Adv. Difference Equ. 2020, Paper No. 510, 9 p. (2020; Zbl 1486.11035) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kim, Han Young; Kwon, Jongkyum Some results on degenerate Daehee and Bernoulli numbers and polynomials. (English) Zbl 1485.11046 Adv. Difference Equ. 2020, Paper No. 311, 13 p. (2020). MSC: 11B68 11B73 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2020, Paper No. 311, 13 p. (2020; Zbl 1485.11046) Full Text: DOI arXiv
Jang, Lee-Chae; Kim, Dae San; Kim, Taekyun; Lee, Hyunseok \(p\)-adic integral on \(\mathbb{Z}_p\) associated with degenerate Bernoulli polynomials of the second kind. (English) Zbl 1482.11030 Adv. Difference Equ. 2020, Paper No. 278, 20 p. (2020). MSC: 11B68 11B73 11B83 11S80 11E95 PDFBibTeX XMLCite \textit{L.-C. Jang} et al., Adv. Difference Equ. 2020, Paper No. 278, 20 p. (2020; Zbl 1482.11030) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Jang, Lee-Chae; Lee, Hyunseok Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers. (English) Zbl 1482.11033 Adv. Difference Equ. 2020, Paper No. 245, 19 p. (2020). MSC: 11B73 11B68 05A19 11S80 11B83 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2020, Paper No. 245, 19 p. (2020; Zbl 1482.11033) Full Text: DOI arXiv
Ma, Yuankui; Kim, Dae San; Lee, Hyunseok; Kim, Taekyun Poly-Dedekind sums associated with poly-Bernoulli functions. (English) Zbl 1503.11080 J. Inequal. Appl. 2020, Paper No. 248, 10 p. (2020). MSC: 11F20 11B68 11B83 33B15 PDFBibTeX XMLCite \textit{Y. Ma} et al., J. Inequal. Appl. 2020, Paper No. 248, 10 p. (2020; Zbl 1503.11080) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Kim, Han Young; Kwon, Jongkyum Identities of symmetry for Bernoulli polynomials and power sums. (English) Zbl 1503.11049 J. Inequal. Appl. 2020, Paper No. 245, 12 p. (2020). MSC: 11B68 11S80 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2020, Paper No. 245, 12 p. (2020; Zbl 1503.11049) Full Text: DOI