TY - JOUR AU - Kim, Byung Moon AU - Lee, Jeong Gon AU - Jang, Lee-Chae AU - Choi, Sangki PY - 2017 TI - On the Korobov and Changhee mixed-type polynomials and numbers JO - Journal of Mathematics and Computer Science SP - 400-407 VL - 17 IS - 3 AB - By using the Bosonic p-adic integral, Kim et al. [D. S. Kim, T. Kim, H.-I. Kwon, J.-J. Seo, Adv. Stud. Theor. Phys., 8 (2014), 745–754] studied some identities of the Korobov and Daehee mixed-type polynomials. In this paper, by using the fermionic p-adic integral, we define the Korobov and Changhee mixed-type polynomials and give some interesting identities of those polynomials. SN - ISSN 2008-949X UR - http://dx.doi.org/10.22436/jmcs.017.03.05 DO - 10.22436/jmcs.017.03.05 ID - Kim2017 ER - TY - JOUR TI - Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator AU - A. Bayad AU - T. Kim JO - Russ. J. Math. Phys. PY - 2016 DA - 2016// VL - 23 ID - Bayad2016 ER - TY - JOUR TI - Degenerate Stirling, Bernoulli and Eulerian numbers AU - L. Carlitz JO - Utilitas Math. PY - 1979 DA - 1979// VL - 15 ID - Carlitz1979 ER - TY - JOUR TI - On Korobov polynomials of the first kind AU - D. V. Dolgiĭ AU - D. S. Kim AU - T. Kim JO - (Russian) Mat. Sb. PY - 2017 DA - 2017// VL - 208 ID - Dolgiĭ2017 ER - TY - JOUR TI - Some identities of special q-polynomials AU - D. V. Dolgy AU - D. S. Kim AU - T. Kim AU - S.-H. Rim JO - J. Inequal. Appl. PY - 2014 DA - 2014 // VL - 2014 ID - Dolgy2014 ER - TY - JOUR TI - Identities of symmetry for the higher-order Carlitz’s degenerate q-Euler polynomials under the symmetry group of degree 3 AU - D. V. Dolgy AU - T. Kim AU - H.-I. Kwon JO - Adv. Stud. Contemp. Math. (Kyungshang) PY - 2016 DA - 2016// VL - 26 ID - Dolgy2016 ER - TY - JOUR TI - q-Volkenborn integration AU - T. Kim JO - Russ. J. Math. Phys. PY - 2002 DA - 2002// VL - 9 ID - Kim2002 ER - TY - JOUR TI - Identities involving Laguerre polynomials derived from umbral calculus AU - T. Kim JO - Russ. J. Math. Phys. PY - 2014 DA - 2014// VL - 21 ID - Kim2014 ER - TY - JOUR TI - A note on the identities of special polynomials AU - T. Kim AU - D. V. Dolgy AU - D. S. Kim AU - S.-H. Rim JO - Ars Combin PY - 2014 DA - 2014// VL - 113A ID - Kim2014 ER - TY - JOUR TI - Differential equations for Changhee polynomials and their applications AU - T. Kim AU - D. V. Dolgy AU - D. S. Kim AU - J.-J. Seo JO - J. Nonlinear Sci. Appl. PY - 2016 DA - 2016// VL - 9 ID - Kim2016 ER - TY - JOUR TI - Identities arising from higher-order Daehee polynomial bases AU - D. S. Kim AU - T. Kim JO - Open Math. PY - 2015 DA - 2015// VL - 13 ID - Kim2015 ER - TY - JOUR TI - Some identities of degenerate special polynomials AU - D. S. Kim AU - T. Kim JO - Open Math. PY - 2015 DA - 2015// VL - 13 ID - Kim2015 ER - TY - JOUR TI - Some identities of Korobov-type polynomials associated with p-adic integrals on \(Z_p\) AU - D. S. Kim AU - T. Kim JO - Adv. Difference Equ. PY - 2015 DA - 2015 // VL - 2015 ID - Kim2015 ER - TY - JOUR TI - A note on nonlinear Changhee differential equations AU - T. Kim AU - D. S. Kim JO - Russ. J. Math. Phys. PY - 2016 DA - 2016// VL - 23 ID - Kim2016 ER - TY - JOUR TI - Some properties of special polynomials AU - D. S. Kim AU - T. Kim AU - D. V. Dolgy JO - Appl. Math. Sci. PY - 2014 DA - 2014// VL - 8 ID - Kim2014 ER - TY - JOUR TI - Nonlinear differential equation for Korobov numbers AU - D. S. Kim AU - T. Kim AU - H.-I. Kwon AU - T. Mansour JO - Adv. Stud. Contemp. Math. (Kyungshang) PY - 2016 DA - 2016// VL - 26 ID - Kim2016 ER - TY - JOUR TI - Identities of some special mixed-type polynomials AU - D. S. Kim AU - T. Kim AU - H.-I. Kwon AU - J.-J. Seo JO - Adv. Stud. Theor. Phys. PY - 2014 DA - 2014// VL - 8 ID - Kim2014 ER - TY - JOUR TI - Some special polynomials and Sheffer sequences AU - D. S. Kim AU - T. Kim AU - S.-H. Lee AU - D. V. Dolgy JO - J. Comput. Anal. Appl. PY - 2014 DA - 2014// VL - 16 ID - Kim2014 ER - TY - JOUR TI - Some identities arising from Sheffer sequences of special polynomials AU - D. S. Kim AU - T. Kim AU - S.-H. Rim JO - Adv. Stud. Contemp. Math. (Kyungshang) PY - 2013 DA - 2013// VL - 23 ID - Kim2013 ER - TY - JOUR TI - Differential equations associated with \(\lambda\)-Changhee polynomials AU - T. Kim AU - D. S. Kim AU - J.-J. Seo AU - H.-I. Kwon JO - J. Nonlinear Sci. Appl. PY - 2016 DA - 2016// VL - 9 ID - Kim2016 ER - TY - JOUR TI - Degenerate q-Changhee polynomials AU - T. Kim AU - H.-I. Kwon AU - J. J. Seo JO - J. Nonlinear Sci. Appl. PY - 2016 DA - 2016// VL - 9 ID - Kim2016 ER - TY - JOUR TI - On some properties of special polynomials AU - N. M. Korobov JO - (Russian) Proceedings of the IV International Conference ”Modern Problems of Number Theory and its Applications” (Russian), Tula, (2001), ChebyshevskiĭSb. PY - 2001 DA - 2001// VL - 1 ID - Korobov2001 ER -