Differential equations associated with lambda-Changhee polynomials
-
1448
Downloads
-
2701
Views
Authors
Taekyun Kim
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea.
Dae San Kim
- Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea.
Jong-Jin Seo
- Department of Applied Mathematics, Pukyong National University, Busan, Republic of Korea.
Hyuck-In Kwon
- Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea.
Abstract
In this paper, we study linear differential equations arising from \(\lambda\)-Changhee polynomials (or called
degenerate Changhee polynomials) and give some explicit and new identities for the \(\lambda\)-Changhee polynomials
associated with linear differential equations.
Share and Cite
ISRP Style
Taekyun Kim, Dae San Kim, Jong-Jin Seo, Hyuck-In Kwon, Differential equations associated with lambda-Changhee polynomials, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 3098--3111
AMA Style
Kim Taekyun, Kim Dae San, Seo Jong-Jin, Kwon Hyuck-In, Differential equations associated with lambda-Changhee polynomials. J. Nonlinear Sci. Appl. (2016); 9(5):3098--3111
Chicago/Turabian Style
Kim, Taekyun, Kim, Dae San, Seo, Jong-Jin, Kwon, Hyuck-In. "Differential equations associated with lambda-Changhee polynomials." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 3098--3111
Keywords
- \(\lambda\)-Changhee polynomials
- differential equations.
MSC
References
-
[1]
A. Bayad, T. Kim, Higher recurrences for Apostol-Bernoulli-Euler numbers , Russ. J. Math. Phys., 19 (2012), 1-10.
-
[2]
D. Ding, J. Yang, Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials, Adv. Stud. Contemp. Math., (Kyungshang), 20 (2010), 7-21.
-
[3]
L.-C. Jang, C. S. Ryoo, J. J. Seo, H. I. Kwon, Some properties of the twisted Changhee polynomials and their zeros, Appl. Math. Comput., 274 (2016), 169-177.
-
[4]
T. Kim, Non-Archimedean q-integrals associated with multiple Changhee q-Bernoulli polynomials, Russ. J. Math. Phys., 10 (2003), 91-98.
-
[5]
T. Kim, D. V. Dolgy, D. S. Kim, J. J. Seo, Dierential equations for Changhee polynomials and their applications, J. Nonlinear Sci. Appl., 9 (2016), 2857-2864.
-
[6]
D. S. Kim, T. Kim, A note on Boole polynomials, Integral Transforms Spec. Funct., 25 (2014), 627-633.
-
[7]
D. S. Kim, T. Kim, Some identities for Bernoulli numbers of the second kind arising from a nonlinear differential equation, Bull. Korean. Math. Soc., 52 (2015), 2001-2010.
-
[8]
D. S. Kim, T. Kim , Some identities of Korobov-type polynomials associated with p-adic integrals on Zp, Adv. Difference Equ., 2015 (2015), 13 pages.
-
[9]
T. Kim, D. S. Kim, A note on non-linear Changhee differential equations, Russ. J. Math. Phys., 23 (2016), 88-92.
-
[10]
D. S. Kim, T. Kim, T. Komatsu, S.-H. Lee, Barnes-type Daehee of the first kind and poly-Cauchy of the first kind mixed-type polynomials, Adv. Difference Equ., 2014 (2014), 22 pages.
-
[11]
D. S. Kim, T. Kim, J. J. Seo, A note on q-analogue of Boole polynomials, Appl. Math. Inf. Sci., 9 (2015), 3135-3158.
-
[12]
T. Kim, T. Mansour, S. H. Rim, J. J. Seo, A note on q-Changhee polynomials and numbers, Adv. Stud. Theor. Phys., 8 (2014), 35-41.
-
[13]
H. I. Kwon, T. Kim, J. J. Seo , A note on degenerate Changhee numbers and polynomials, Proc. Jangjeon Math. Soc., 18 (2015), 295-305.
-
[14]
D. Lim, F. Qi, On the appell type{changhee polynomials, J. Nonlinear Sci. Appl., 9 (2016), 1872-1876.
-
[15]
J.-W. Park, On the twisted q-Changhee polynomials of higher order, J. Comput. Anal. Appl., 20 (2016), 424-431.
-
[16]
S.-H. Rim, J.-W. Park, S.-S. Pyo, J. Kwon, The n-th twisted Changhee polynomials and numbers, Bull. Korean. Math. Soc., 52 (2015), 741-749.
-
[17]
J. J. Seo, T. Kim, p-adic invariant integral on Zp associated with the Changhee's q-bernoulli polynomials, Int. J. Math. Anal. (Ruse), 7 (2013), 2117-2128.
-
[18]
G. Y. Sohn, J. K. Kwon, A note on twisted Changhee polynomials and numbers with weight, Appl. Math. Sci., 9 (2015), 1517-1525.
-
[19]
N. L. Wang, L. Hailong, Some identities on the higher-order Daehee and Changhee numbers, Pure Appl. Math. J., 4 (2015), 33-37.