A study on a class of q-Euler polynomials under the symmetric group of degree n

作者：Araci Serkan^*; Duran Ugur; Acikgoz Mehmet

来源：Journal of Nonlinear Sciences and Applications, 2016, 9(8): 5196-5201.

DOI：10.22436/jnsa.009.08.05

• Symmetric identities
• q-extension of lambda-Euler polynomials
• fermionic p-adic invariant integral on Z(p)
• invariant under S-n

Motivated by the paper of Kim et al. [T. Kim, D. S. Kim, H. I. Kwon, J. J. Seo, D. V. Dolgy, J. Nonlinear Sci. Appl., 9 (2016), 1077-1082], we study a class of q-Euler polynomials earlier given by Kim et al. in [T. Kim, Y. H. Kim, K. W. Hwang, Proc. Jangjeon Math. Soc., 12 (2009), 77-92]. We derive some new symmetric identities for q-extension of lambda-Euler polynomials, using fermionic p-adic invariant integral over the p-adic number field originally introduced by Kim in [T. Kim, Russ. J. Math. Phys., 16 (2009), 484-491], under symmetric group of degree n denoted by S-n.

• 出版日期2016