Jong-Jin Seo

Fully degenerate poly-Bernoulli numbers and polynomials

Abstract In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers. From our properties, we derive some identities for the fully degenerate poly-Bernoulli numbers and polynomials.

Some properties of the twisted Changhee polynomials and their zeros

Kim et?al. 9 studied some special polynomials and numbers which are closely related to Changhee polynomials and numbers, and Park et?al. (2014) 17 studied the twisted Changhee polynomials and numbers.In this paper we consider the twisted Changhee polynomials and numbers. From these polynomials and numbers, we derive some identities. Furthermore, we investigate the higher-order twisted Changhee polynomials and numbers and also discuss some computations of zeros of the twisted Changhee polynomials.

A Note on E-Learning Dynamic Assessment with Fuzzy Estimations

A model of an assessment module has been created, using intuitionisric fuzzy estimations, which render account on the knowledge of the trained objects. The final mark is determined on the basis of a set of evaluation units. An opportunity is offered no only for tracing the changes of the parameters of the trainer object, but there is also an opportunity of tracing the status of the already comprehended knowledge, as well as evaluating and changing the training themes and evaluation criteria

Identities of symmetry for generalized q-Euler polynomials

Recently, some identities of symmetry for the generalized Carlitz’s type q-Euler polynomials, which are given by ξn,χ(x) = ∫ X χ(y)[x+y] n q dμ−q(y), under symmetric group S4 were investigated in [4]. In this paper, we give some new identities of symmetry for the generalized q-Euler polynomials attached to χ, which are slightly different Carlitz’s type q-Euler polynomials, under symmetric group S4.