Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Jang, Gwan-Woo; Mansour, Toufik Sums of finite products of ordered Bell functions. (English) Zbl 1414.11032 Adv. Stud. Contemp. Math., Kyungshang 28, No. 3, 381-391 (2018). MSC: 11B83 42A16 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., Adv. Stud. Contemp. Math., Kyungshang 28, No. 3, 381--391 (2018; Zbl 1414.11032)
Kim, Taekyun; Kwon, Hyuck-in; Mansour, Toufik; Rim, Seog-Hoon Symmetric identities for the fully degenerate Bernoulli polynomials and degenerate Euler polynomials under symmetric group of degree \(n\). (English) Zbl 1407.11040 Util. Math. 103, 61-72 (2017). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{T. Kim} et al., Util. Math. 103, 61--72 (2017; Zbl 1407.11040)
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck-In; Jang, Gawn Woo; Mansour, Toufik A generalization of symmetric property beyond Appell polynomials. (English) Zbl 1371.11050 Proc. Jangjeon Math. Soc. 20, No. 2, 145-152 (2017). MSC: 11B68 11B83 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Proc. Jangjeon Math. Soc. 20, No. 2, 145--152 (2017; Zbl 1371.11050)
Jang, Gwan-Woo; Kim, Dae San; Kim, Taekyun; Mansour, Toufik Fourier series of functions related to Bernoulli polynomials. (English) Zbl 1404.42006 Adv. Stud. Contemp. Math., Kyungshang 27, No. 1, 49-62 (2017). MSC: 42A16 11B68 PDFBibTeX XMLCite \textit{G.-W. Jang} et al., Adv. Stud. Contemp. Math., Kyungshang 27, No. 1, 49--62 (2017; Zbl 1404.42006) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Mansour, Toufik; Seo, Jong-Jin Degenerate Mittag-Leffler polynomials. (English) Zbl 1410.05009 Appl. Math. Comput. 274, 258-266 (2016). MSC: 05A19 05A40 11B68 11B83 65D20 65Q30 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Appl. Math. Comput. 274, 258--266 (2016; Zbl 1410.05009) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik Powers under umbral composition and degeneration for Sheffer sequences. (English) Zbl 1419.05026 Adv. Difference Equ. 2016, Paper No. 66, 11 p. (2016). MSC: 05A19 05A40 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Difference Equ. 2016, Paper No. 66, 11 p. (2016; Zbl 1419.05026) Full Text: DOI
Kim, Dae San; Kim, Tae Kyun; Mansour, Toufik; Seod, Jong-Jin Fully degenerate poly-Bernoulli polynomials with a \(q\) parameter. (English) Zbl 1446.11035 Filomat 30, No. 4, 1029-1035 (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 11B68 05A19 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Filomat 30, No. 4, 1029--1035 (2016; Zbl 1446.11035) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck-In; Mansour, Toufik Nonlinear differential equation for Korobov numbers. (English) Zbl 1407.11038 Adv. Stud. Contemp. Math., Kyungshang 26, No. 4, 733-740 (2016). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 26, No. 4, 733--740 (2016; Zbl 1407.11038) Full Text: arXiv
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik Korobov polynomials of the fifth kind and of the sixth kind. (English) Zbl 1353.05016 Kyungpook Math. J. 56, No. 2, 329-342 (2016). MSC: 05A19 05A40 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Kyungpook Math. J. 56, No. 2, 329--342 (2016; Zbl 1353.05016) Full Text: DOI
Kim, Taekyun; Herscovici, Orli; Mansour, Toufik; Rim, Seog-Hoon Differential equations for \(p\), \(q\)-Touchard polynomials. (English) Zbl 1430.11031 Open Math. 14, 908-912 (2016). MSC: 11B68 05A19 PDFBibTeX XMLCite \textit{T. Kim} et al., Open Math. 14, 908--912 (2016; Zbl 1430.11031) Full Text: DOI
Kim, Taekyun; Kim, Dae San; Mansour, Toufik; Seo, Jong-Jin Linear differential equations for families of polynomials. (English) Zbl 1334.33026 J. Inequal. Appl. 2016, Paper No. 95, 8 p. (2016). MSC: 33C45 33C47 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Inequal. Appl. 2016, Paper No. 95, 8 p. (2016; Zbl 1334.33026) Full Text: DOI
Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Mansour, Toufik Degenerate poly-Bernoulli polynomials of the second kind. (English) Zbl 1331.05035 J. Comput. Anal. Appl. 21, No. 5, 954-966 (2016). MSC: 05A19 05A40 11B83 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., J. Comput. Anal. Appl. 21, No. 5, 954--966 (2016; Zbl 1331.05035)
Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Mansour, Toufik Degenerate poly-Cauchy polynomials. (English) Zbl 1410.05008 Appl. Math. Comput. 269, 637-646 (2015). MSC: 05A19 05A40 11B83 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., Appl. Math. Comput. 269, 637--646 (2015; Zbl 1410.05008) Full Text: DOI
Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Mansour, Toufik Barnes-type degenerate Euler polynomials. (English) Zbl 1410.11015 Appl. Math. Comput. 261, 388-396 (2015). MSC: 11B68 05A40 11B83 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., Appl. Math. Comput. 261, 388--396 (2015; Zbl 1410.11015) Full Text: DOI
Kim, Dae; Kim, Taekyun; Mansour, Toufik; Dolgy, Dmitry On poly-Bernoulli polynomials of the second kind with umbral calculus viewpoint. (English) Zbl 1348.11019 Adv. Difference Equ. 2015, Paper No. 27, 13 p. (2015). MSC: 11B68 05A40 PDFBibTeX XMLCite \textit{D. Kim} et al., Adv. Difference Equ. 2015, Paper No. 27, 13 p. (2015; Zbl 1348.11019) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik Degenerate poly-Bernoulli polynomials with umbral calculus viewpoint. (English) Zbl 1333.05037 J. Inequal. Appl. 2015, Paper No. 228, 13 p. (2015). MSC: 05A19 05A40 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} et al., J. Inequal. Appl. 2015, Paper No. 228, 13 p. (2015; Zbl 1333.05037) Full Text: DOI
Dolgy, Dmitry V.; Kim, Dae San; Kim, Taekyun; Mansour, Toufik Barnes-type Daehee with \(\lambda\)-parameter and degenerate Euler mixed-type polynomials. (English) Zbl 1332.05007 J. Inequal. Appl. 2015, Paper No. 154, 13 p. (2015). MSC: 05A15 05A40 11B83 PDFBibTeX XMLCite \textit{D. V. Dolgy} et al., J. Inequal. Appl. 2015, Paper No. 154, 13 p. (2015; Zbl 1332.05007) Full Text: DOI
Cho, Young-Ki; Kim, Taekyun; Mansour, Toufik; Rim, Seog-Hoon On a \((r,s)\)-analogue of Changhee and Daehee numbers and polynomials. (English) Zbl 1346.11018 Kyungpook Math. J. 55, No. 2, 225-232 (2015). MSC: 11B68 05A40 PDFBibTeX XMLCite \textit{Y.-K. Cho} et al., Kyungpook Math. J. 55, No. 2, 225--232 (2015; Zbl 1346.11018) Full Text: DOI
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik Barnes-type Narumi of the second kind and Poisson-Charlier mixed-type polynomials. (English) Zbl 1318.11042 J. Comput. Anal. Appl. 19, No. 5, 837-850 (2015). MSC: 11B83 05A40 PDFBibTeX XMLCite \textit{D. S. Kim} et al., J. Comput. Anal. Appl. 19, No. 5, 837--850 (2015; Zbl 1318.11042)
Cho, Young-Ki; Kim, Taekyun; Mansour, Toufik; Rim, Seog-Hoon Higher-order \(q\)-Daehee polynomials. (English) Zbl 1318.11026 J. Comput. Anal. Appl. 19, No. 1, 167-173 (2015). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{Y.-K. Cho} et al., J. Comput. Anal. Appl. 19, No. 1, 167--173 (2015; Zbl 1318.11026)
Kim, Dae San; Kim, Taekyun; Kwon, Hyuck In; Mansour, Toufik; Seo, Jongjin Barnes-type Peters polynomial with umbral calculus viewpoint. (English) Zbl 1333.05039 J. Inequal. Appl. 2014, Paper No. 324, 16 p. (2014). MSC: 05A40 11B83 PDFBibTeX XMLCite \textit{D. S. Kim} et al., J. Inequal. Appl. 2014, Paper No. 324, 16 p. (2014; Zbl 1333.05039) 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, Dae San; Kim, Taekyun; Mansour, Toufik Euler basis and the product of several Bernoulli and Euler polynomials. (English) Zbl 1366.11049 Adv. Stud. Contemp. Math., Kyungshang 24, No. 4, 535-547 (2014). MSC: 11B68 PDFBibTeX XMLCite \textit{D. S. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 24, No. 4, 535--547 (2014; Zbl 1366.11049)
Kim, Taekyun; Lee, Sang-Hun; Mansour, Toufik; Seo, Jong-Jin A note on \(q\)-Daehee polynomials and numbers. (English) Zbl 1301.11021 Adv. Stud. Contemp. Math., Kyungshang 24, No. 2, 155-160 (2014); erratum ibid. 24, No. 3, 421 (2014). MSC: 11B68 11S80 PDFBibTeX XMLCite \textit{T. Kim} et al., Adv. Stud. Contemp. Math., Kyungshang 24, No. 2, 155--160 (2014; Zbl 1301.11021)
Chung, Won Sang; Kim, Taekyun; Mansour, Toufik The \(q\)-deformed gamma function and \(q\)-deformed polygamma function. (English) Zbl 1375.33027 Bull. Korean Math. Soc. 51, No. 4, 1155-1161 (2014). MSC: 33D05 11B68 PDFBibTeX XMLCite \textit{W. S. Chung} et al., Bull. Korean Math. Soc. 51, No. 4, 1155--1161 (2014; Zbl 1375.33027) Full Text: DOI Link
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, Taekyun; Kim, Dae San; Mansour, Toufik; Rim, Seog-Hoon; Schork, Matthias Umbral calculus and Sheffer sequences of polynomials. (English) Zbl 1285.05015 J. Math. Phys. 54, No. 8, 083504, 15 p. (2013). MSC: 05A40 PDFBibTeX XMLCite \textit{T. Kim} et al., J. Math. Phys. 54, No. 8, 083504, 15 p. (2013; Zbl 1285.05015) Full Text: DOI