Corrigendum to “On the von Staudt–Clausen's theorem related to q-Frobenius–Euler numbers” (J. Number Theory (2016) 159 (329–339))

Abstract

We have to correct our paper as follows. In our paper, q-Frobenius–Euler numbers were already defined as q-extension of ?-Euler polynomials by Kim [2] as follows: [formula presented] When [formula presented] in the above, we have [formula presented] that means q-extension of Euler numbers (see [2] for details). Since the following identity holds [formula presented] the Eq. (1.4) in [1] is the same as Kim et al.'s q-extension of ?-Euler numbers in [2]. Therefore, throughout our paper, q-Frobenius–Euler numbers and polynomials defined in [1] are Kim et al.'s q-extension of ?-Euler numbers and polynomials as in [2], not introduced by us. © 2016 Elsevier Inc.