전체 | 과거현황 (2017년 이전) | 논문

373

Daeyeoul Kim(Nazli Ikikardes) | Advances in Difference Equations 310 (2013)

372

Daeyeoul Kim (Nazli Ikikardes, Aeran Kim) | Advances in Difference Equations 277 (2013)

371

Bumkyu Cho(Daeyeoul Kim, Ho Park) | Journal of Mathematical Analysis and Applications 406 (2013)

370

Daeyeoul Kim (Minsoo Kim) | Applied Mathematics and Computation 221 (2013)

초록

In this paper we derive some identities of symmetry related to higher order q-Euler polynomials by using the multivariate fermionic p-adic q-integral on $Z_{p}$ . Furthermore, some of these identities are also related to the q-analogue of the alternating power sums and the multiplication theorem.

초록

In this paper we derive some identities of symmetry related to higher order q-Euler polynomials by using the multivariate fermionic p-adic q-integral on $Z_{p}$ . Furthermore, some of these identities are also related to the q-analogue of the alternating power sums and the multiplication theorem.

369

Convolution sums and their relations to Eisenstein series

Daeyeoul Kim (Aeran Kim, Sankaranarayanan Ayyadurai) | Bulletin of the Korean Mathematical Society 50 (2013)

초록

In this paper, we consider several convolution sums, namely, $A_{i} (m, n; N)$ ( $i = 1, 2, 3, 4$ ), $B_{j} (m, n; N)$ ( $j = 1, 2, 3$ ), and $C_{k} (m, n; N)$ ( $k = 1, 2, 3, \dots, 12$ ), and establish certain identities involving their finite products. Then we extend these types of product convolution identities to products involving Faulhaber sums. As an application, an identity involving the Weierstrass $℘$ -function, its derivative and certain linear combination of Eisenstein series is established.

초록

In this paper, we consider several convolution sums, namely, $A_{i} (m, n; N)$ ( $i = 1, 2, 3, 4$ ), $B_{j} (m, n; N)$ ( $j = 1, 2, 3$ ), and $C_{k} (m, n; N)$ ( $k = 1, 2, 3, \dots, 12$ ), and establish certain identities involving their finite products. Then we extend these types of product convolution identities to products involving Faulhaber sums. As an application, an identity involving the Weierstrass $℘$ -function, its derivative and certain linear combination of Eisenstein series is established.

368

Jinmo Kim(Hyungje Cho, Daeyeoul Kim) | Computer Animation Virtual Worlds 24 (2013)

초록

This study proposes a novel procedural modeling method using convolution sums of divisor functions to model a variety of natural trees in a virtual ecosystem efficiently. The basic structure of the modeling method defines the growth grammar, including the branch propagation, a growth pattern of branches and leaves, and a process of growth deformation for various tree generation. Here, the proposed procedural method for trees is to utilize convolution sums of divisor functions as a novel approach. The structure of convolution sums has branch propagation of a uniform pattern, which is controllable, so that it is efficient for realtime virtual ecosystem construction. Furthermore, it can process changes of environment factors or growth deformation for various and unique tree generation simply through the properties of divisor functions. Finally, an experiment is performed in order to evaluate our proposed modeling method whether it can generate natural and various tree models, and a realtime virtual ecosystem of a large area where a variety of trees are presented using the modeling method can be constructed efficiently.Copyright © 2013 John Wiley & Sons, Ltd

초록

This study proposes a novel procedural modeling method using convolution sums of divisor functions to model a variety of natural trees in a virtual ecosystem efficiently. The basic structure of the modeling method defines the growth grammar, including the branch propagation, a growth pattern of branches and leaves, and a process of growth deformation for various tree generation. Here, the proposed procedural method for trees is to utilize convolution sums of divisor functions as a novel approach. The structure of convolution sums has branch propagation of a uniform pattern, which is controllable, so that it is efficient for realtime virtual ecosystem construction. Furthermore, it can process changes of environment factors or growth deformation for various and unique tree generation simply through the properties of divisor functions. Finally, an experiment is performed in order to evaluate our proposed modeling method whether it can generate natural and various tree models, and a realtime virtual ecosystem of a large area where a variety of trees are presented using the modeling method can be constructed efficiently.Copyright © 2013 John Wiley & Sons, Ltd

367

Su Hu ( Minsoo Kim, Daeyeoul Kim) | Advances in Difference Equations 74 (2013)