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
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, T.; Kim, D. S. Degenerate zero-truncated Poisson random variables. (English) Zbl 1470.60059 Russ. J. Math. Phys. 28, No. 1, 66-72 (2021). MSC: 60E05 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Russ. J. Math. Phys. 28, No. 1, 66--72 (2021; Zbl 1470.60059) Full Text: DOI arXiv
Jang, Lee-Chae; Kim, Dae San; Kim, Taekyun; Lee, Hyunseok Some identities involving derangement polynomials and numbers and moments of gamma random variables. (English) Zbl 1473.05032 J. Funct. Spaces 2020, Article ID 6624006, 9 p. (2020). Reviewer: Robert Frontczak (Stuttgart) MSC: 05A19 05A15 11B83 PDFBibTeX XMLCite \textit{L.-C. Jang} et al., J. Funct. Spaces 2020, Article ID 6624006, 9 p. (2020; Zbl 1473.05032) Full Text: DOI arXiv
Kim, Taekyun; Kim, Dae San; Kim, Han Young; Pyo, Sung-Soo \(\lambda\)-analogues of Stirling polynomials of the first kind and their applications. (English) Zbl 1499.11137 J. Inequal. Appl. 2019, Paper No. 301, 14 p. (2019). MSC: 11B73 11B83 05A19 05A15 05A10 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2019, Paper No. 301, 14 p. (2019; Zbl 1499.11137) Full Text: DOI
Kim, Dae San; Kim, Han Young; Kim, Dojin; Kim, Taekyun Identities of symmetry for type 2 Bernoulli and Euler polynomials. (English) Zbl 1425.11039 Symmetry 11, No. 5, Paper No. 613, 14 p. (2019). MSC: 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Symmetry 11, No. 5, Paper No. 613, 14 p. (2019; Zbl 1425.11039) Full Text: DOI
Kim, Taekyun; Kim, Dae San Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums. (English) Zbl 1391.11053 Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 939-949 (2017). MSC: 11B83 11S80 05A19 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Iran. J. Sci. Technol., Trans. A, Sci. 41, No. 4, 939--949 (2017; Zbl 1391.11053) Full Text: DOI
Kim, Dae San; Kim, Taekyun Generalized Boole numbers and polynomials. (English) Zbl 1348.05031 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 823-839 (2016). MSC: 05A40 11B83 11S80 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 110, No. 2, 823--839 (2016; Zbl 1348.05031) Full Text: DOI
Kim, Tae Kyun Barnes’ type multiple degenerate Bernoulli and Euler polynomials. (English) Zbl 1338.11028 Appl. Math. Comput. 258, 556-564 (2015). MSC: 11B68 PDFBibTeX XMLCite \textit{T. K. Kim}, Appl. Math. Comput. 258, 556--564 (2015; Zbl 1338.11028) Full Text: DOI
Kim, Dae San; Kim, Taekyun Some properties of higher-order Daehee polynomials of the second kind arising from umbral calculus. (English) Zbl 1372.05021 J. Inequal. Appl. 2014, Paper No. 195, 13 p. (2014). MSC: 05A40 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, J. Inequal. Appl. 2014, Paper No. 195, 13 p. (2014; Zbl 1372.05021) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Komatsu, Takao; Kwon, Hyuck In Barnes’ multiple Bernoulli and generalized Barnes’ multiple Frobenius-Euler mixed-type polynomials. (English) Zbl 1343.05023 Adv. Difference Equ. 2014, Paper No. 238, 16 p. (2014). MSC: 05A15 05A40 11B68 11B75 33E20 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2014, Paper No. 238, 16 p. (2014; Zbl 1343.05023) Full Text: DOI
Kim, Taekyun; Mansour, Toufik Umbral calculus associated with Frobenius-type Eulerian polynomials. (English) Zbl 1318.11037 Russ. J. Math. Phys. 21, No. 4, 484-493 (2014). MSC: 11B68 05A40 PDFBibTeX XMLCite \textit{T. Kim} and \textit{T. Mansour}, Russ. J. Math. Phys. 21, No. 4, 484--493 (2014; Zbl 1318.11037) Full Text: DOI
Kim, Taekyun; Mansour, Toufik; Rim, Seog-Hoon; Lee, Sang-Hun Apostol-Euler polynomials arising from umbral calculus. (English) Zbl 1391.05051 Adv. Difference Equ. 2013, Paper No. 301, 7 p. (2013). MSC: 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Difference Equ. 2013, Paper No. 301, 7 p. (2013; Zbl 1391.05051) Full Text: DOI arXiv
Kim, Dae; Kim, Taekyun; Dolgy, Dmitry V.; Rim, Seog-Hoon Higher-order Bernoulli, Euler and Hermite polynomials. (English) Zbl 1380.11016 Adv. Difference Equ. 2013, Paper No. 103, 7 p. (2013). MSC: 11B68 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2013, Paper No. 103, 7 p. (2013; Zbl 1380.11016) Full Text: DOI
Kim, Dae; Kim, Taekyun; Rim, Seog-Hoon; Dolgy, Dmitry V. Sheffer sequences of polynomials and their applications. (English) Zbl 1380.11017 Adv. Difference Equ. 2013, Paper No. 118, 10 p. (2013). MSC: 11B68 05A40 05A19 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2013, Paper No. 118, 10 p. (2013; Zbl 1380.11017) Full Text: DOI arXiv
Kim, Dae; Kim, Taekyun; Dolgy, Dmitry V.; Rim, Seog-Hoon Some new identities of Bernoulli, Euler and Hermite polynomials arising from umbral calculus. (English) Zbl 1380.05005 Adv. Difference Equ. 2013, Paper No. 73, 11 p. (2013). MSC: 05A10 05A19 11B68 33C45 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2013, Paper No. 73, 11 p. (2013; Zbl 1380.05005) Full Text: DOI
Kim, Dae; Kim, Taekyun Higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials. (English) Zbl 1375.11025 Adv. Difference Equ. 2013, Paper No. 251, 13 p. (2013). MSC: 11B83 11B68 05A40 PDFBibTeX XMLCite \textit{D. Kim} and \textit{T. Kim}, Adv. Difference Equ. 2013, Paper No. 251, 13 p. (2013; Zbl 1375.11025) Full Text: DOI arXiv
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon A note on the higher-order Frobenius-Euler polynomials and Sheffer sequences. (English) Zbl 1382.11025 Adv. Difference Equ. 2013, Paper No. 41, 12 p. (2013). MSC: 11B68 05A10 05A19 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2013, Paper No. 41, 12 p. (2013; Zbl 1382.11025) Full Text: DOI
Kim, Dae; Kim, Taekyun A note on higher-order Bernoulli polynomials. (English) Zbl 1416.11038 J. Inequal. Appl. 2013, Paper No. 111, 9 p. (2013). MSC: 11B68 PDFBibTeX XMLCite \textit{D. Kim} and \textit{T. Kim}, J. Inequal. Appl. 2013, Paper No. 111, 9 p. (2013; Zbl 1416.11038) Full Text: DOI
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Rim, Seog-Hoon Frobenius-Euler polynomials and umbral calculus in the \(p\)-adic case. (English) Zbl 1377.11026 Adv. Difference Equ. 2012, Paper No. 222, 11 p. (2012). MSC: 11B68 05A10 05A19 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2012, Paper No. 222, 11 p. (2012; Zbl 1377.11026) Full Text: DOI
Kim, Dae; Kim, Taekyun; Lee, Sang-Hun; Kim, Young-Hee Some identities for the product of two Bernoulli and Euler polynomials. (English) Zbl 1346.33008 Adv. Difference Equ. 2012, Paper No. 95, 14 p. (2012). MSC: 33C47 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2012, Paper No. 95, 14 p. (2012; Zbl 1346.33008) Full Text: DOI
Kim, Dae San; Kim, Taekyun Applications of umbral calculus associated with \(p\)-adic invariant integrals on \(\mathbb Z_p\). (English) Zbl 1261.11077 Abstr. Appl. Anal. 2012, Article ID 865721, 12 p. (2012). MSC: 11S80 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} and \textit{T. Kim}, Abstr. Appl. Anal. 2012, Article ID 865721, 12 p. (2012; Zbl 1261.11077) Full Text: DOI
Kim, Taekyun; Kim, Dae San Extended Laguerre polynomials associated with Hermite, Bernoulli, and Euler numbers and polynomials. (English) Zbl 1258.33006 Abstr. Appl. Anal. 2012, Article ID 957350, 15 p. (2012). MSC: 33C45 11B68 PDFBibTeX XMLCite \textit{T. Kim} and \textit{D. S. Kim}, Abstr. Appl. Anal. 2012, Article ID 957350, 15 p. (2012; Zbl 1258.33006) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Dolgy, Dmitry V. Some identities on Laguerre polynomials in connection with Bernoulli and Euler numbers. (English) Zbl 1254.33010 Discrete Dyn. Nat. Soc. 2012, Article ID 619197, 10 p. (2012). MSC: 33C45 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Discrete Dyn. Nat. Soc. 2012, Article ID 619197, 10 p. (2012; Zbl 1254.33010) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Dolgy, Dmitry V. Some identities on Bernoulli and Hermite polynomials associated with Jacobi polynomials. (English) Zbl 1254.33011 Discrete Dyn. Nat. Soc. 2012, Article ID 584643, 11 p. (2012). MSC: 33C45 11B68 PDFBibTeX XMLCite \textit{T. Kim} et al., Discrete Dyn. Nat. Soc. 2012, Article ID 584643, 11 p. (2012; Zbl 1254.33011) Full Text: DOI
Kim, D. S.; Kim, T.; Kim, W. J.; Dolgy, D. V. A note on Eulerian polynomials. (English) Zbl 1253.11026 Abstr. Appl. Anal. 2012, Article ID 269640, 10 p. (2012). MSC: 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Abstr. Appl. Anal. 2012, Article ID 269640, 10 p. (2012; Zbl 1253.11026) Full Text: DOI