Geodesic
Some identities of $\lambda$-Daehee polynomials
Lee, Jeong Gon1 ; Kwon, Jongkyum2 ; Jang, Gwan-Woo3 ; Jang, Lee-Chae4
1 Division of Mathematics and informational Statistics, Nanoscale Science and Technology Institute, Wonkwang University, Iksan, 570-749, Republic of Korea
2 Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, Gyeongsangnamdo, 52828, Republic of Korea
3 Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea
4 Graduate school of Education, Konkuk University, Seoul, 143-701, Republic of Korea
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4137-4142.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we give some identities of $\lambda$-Daehee polynomials and investigate a new and interesting identities of $\lambda$-Daehee polynomial arising from the symmetry properties of the $p$-adic invariant integral on $\mathbb{Z}_p$.
DOI : 10.22436/jnsa.010.08.09
Classification : 11B83, 42A16
Keywords: \(\lambda\)-Daehee polynomials, \(p\)-adic invariant integral on \(\mathbb{Z}_p\).

Lee, Jeong Gon 1 ; Kwon, Jongkyum 2 ; Jang, Gwan-Woo 3 ; Jang, Lee-Chae 4

1 Division of Mathematics and informational Statistics, Nanoscale Science and Technology Institute, Wonkwang University, Iksan, 570-749, Republic of Korea
2 Department of Mathematics Education and RINS, Gyeongsang National University, Jinju, Gyeongsangnamdo, 52828, Republic of Korea
3 Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea
4 Graduate school of Education, Konkuk University, Seoul, 143-701, Republic of Korea 
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Lee, Jeong Gon; Kwon, Jongkyum; Jang, Gwan-Woo; Jang, Lee-Chae. Some identities of \(\lambda\)-Daehee polynomials. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 8, p. 4137-4142. doi : 10.22436/jnsa.010.08.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.08.09/

[1] Araci, S.; Ozen, O. Extended q-Dedekind-type Daehee-Changhee sums associated with extended q-Euler polynomials, Adv. Difference Equ., Volume 2015 (2015), pp. 1-5 | DOI | Zbl

[2] Cho, Y.-K.; Kim, T.; Mansour, T.; S.-H. Rim Higher-order q-Daehee polynomials, J. Comput. Anal. Appl., Volume 19 (2015), pp. 167-173 | Zbl

[3] Cho, Y.-K.; Kim, T.; Mansour, T.; Rim, S.-H. On a (r, s)-analogue of Changhee and Daehee numbers and polynomials, Kyungpook Math. J., Volume 55 (2015), pp. 225-232 | DOI | Zbl

[4] Dolgy, D. V.; Kim, D. S.; Kim, T. On Korobov polynomials of the first kind, (Russian) Mat. Sb., Volume 208 (2017), pp. 65-79 | DOI

[5] Dolgy, D. V.; Kim, D. S.; Kim, T.; Mansour, T. Barnes-type Daehee with \(\lambda\) -parameter and degenerate Euler mixed-type polynomials, J. Inequal. Appl., Volume 2015 (2015), pp. 1-13 | Zbl | DOI

[6] El-Desouky, B. S.; A. Mustafa New results on higher-order Daehee and Bernoulli numbers and polynomials , Adv. Difference Equ., Volume 2016 (2016), pp. 1-21 | DOI

[7] Kim, T. Symmetry p-adic invariant integral on \(\mathbb{Z}_p\) for Bernoulli and Euler polynomials, J. Difference Equ. Appl., Volume 14 (2008), pp. 1267-1277 | DOI

[8] T. Kim Symmetry of power sum polynomials and multivariate fermionic p -adic invariant integral on \(\mathbb{Z}_p\), Russ. J. Math. Phys., Volume 16 (2009), pp. 93-96 | DOI | Zbl

[9] Kim, T. An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic p-adic invariant q-integrals on \(\mathbb{Z}_p\), Rocky Mountain J. Math., Volume 41 (2011), pp. 239-247

[10] Kim, T.; Dolgy, D. V.; Kim, D. S. Some identities of q -Bernoulli polynomials under symmetry group \(S_3\), J. Nonlinear Convex Anal., Volume 16 (2015), pp. 1869-1880 | Zbl

[11] Kim, D. S.; Kim, T. Identities arising from higher-order Daehee polynomial bases, Open Math., Volume 13 (2015), pp. 196-208 | Zbl | DOI

[12] Kim, D. S.; Kim, T. Some identities of Boole and Euler polynomials, Ars Combin., Volume 118 (2015), pp. 349-356 | Zbl

[13] Kim, D. S.; Kim, T. Some identities of symmetry for Carlitz q -Bernoulli polynomials invariant under \(S_4\), Ars Combin., Volume 123 (2015), pp. 283-289 | Zbl

[14] Kim, D. S.; T. Kim Some identities of symmetry for q -Bernoulli polynomials under symmetric group of degree n, Ars Combin., Volume 126 (2016), pp. 435-441 | Zbl

[15] Kim, T.; Kim, D. S. On \(\lambda\)-Bell polynomials associated with umbral calculus, Russ. J. Math. Phys., Volume 24 (2017), pp. 69-78 | Zbl | DOI

[16] Kim, D. S.; Kim, T.; Lee, S.-H.; Higher-order Daehee of the first kind and poly-Cauchy of the first kind mixed type polynomials, , J. Comput. Anal. Appl., Volume 18 (2015), pp. 699-714 | Zbl

[17] Kim, D. S.; Kim, T.; Lee, S.-H.; Seo, J.-J. Identities of symmetry for higher-order q-Euler polynomials , Proc. Jangjeon Math. Soc., Volume 17 (2014), pp. 161-167

[18] Kim, D. S.; Lee, N.; Na, J.; K. H. Park Identities of symmetry for higher-order Euler polynomials in three variables (I), Adv. Stud. Contemp. Math., Volume 22 (2012), pp. 51-74 | Zbl

[19] Kim, D. S.; Lee, N.; Na, J.; Park, K. H. Abundant symmetry for higher-order Bernoulli polynomials (I), Adv. Stud. Contemp. Math., Volume 23 (2013), pp. 461-482 | Zbl

[20] Moon, E.-M.; Park, J.-W.; Rim, S.-H. A note on the generalized q-Daehee numbers of higher order, Proc. Jangjeon Math. Soc., Volume 17 (2014), pp. 557-565 | Zbl

[21] Ozden, H.; Cangul, I. N.; Simsek, Y. Remarks on q -Bernoulli numbers associated with Daehee numbers, Adv. Stud. Contemp. Math., Volume 18 (2009), pp. 41-48 | Zbl

[22] Seo, J. J.; Kim, T. Some identities of symmetry for Daehee polynomials arising from p -adic invariant integral on \(\lambda\) , Proc. Jangjeon Math. Soc., Volume 19 (2016), pp. 285-292 | Zbl

[23] Simsek, Y.; A. Yardimci Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and p-adic integrals, Adv. Difference Equ., Volume 2016 (2016), pp. 1-14 | DOI

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