• Communications of the Korean Mathematical Society
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• v.11 no.4
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• pp.975-981
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• 1996

Let $D \subset C^2$ be a bounded convex domain with real analytic boundary. We get some Lipschitz regularity of the Cauchy transform on the convex domain D.

• The Pure and Applied Mathematics
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• v.29 no.4
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• pp.307-319
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• 2022

The present paper deals with the upper bound of third order Hankel determinant for a certain subclass of analytic functions associated with Cardioid domain in the open unit disc E = {z ∈ ℂ : |z| < 1}. The results proved here generalize the results of several earlier works.

• Journal of the Korean Mathematical Society
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• v.45 no.6
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• pp.1523-1534
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• 2008

We investigate the uniqueness of transcendental analytic functions that share three values DM in one angular domain instead of the whole complex plane.

• Journal of Advanced Navigation Technology
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• v.13 no.4
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• pp.600-609
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• 2009

We provide indifferentiable security analyses of pfMD, MDP, WPH, EMD, NI and CS hash domain extensions and their truncated versions. Unlike previous analytic techniques, the analytic technique considered in this paper is simple and easy. Moreover, the analytic technique can be generally applied to any types of hash domain extensions. That means that the technique can be used as an analyzing tool for any new developed hash function.

• Journal of the Korean Society of Costume
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• v.65 no.4
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• pp.137-153
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• 2015

This paper aims at developing an analytic model for examining fashion designer's creativity. This research developed the analytic model of fashion designer's creativity adding the specificity of the fashion area to The Systems Model of Creativity by Csikszentmihalyi & Gardener. The analytic model of fashion designer's creativity is composed of 3 elements: the fashion designer, the fashion domain and the fashion field. The detail factors to be examined by each of the elements are as follows. In the dimension of an individual fashion designer, detail factors influencing the manifestation of creativity contain cognitive and non-cognitive abilities (i.e: personality traits, erotic capital) and socio-psychological factors (i.e: family condition, sexual identity, marital status, health). In the dimension of the fashion domain, creativity factors are composed of socio-cultural contexts and paradigms. In the dimension of the fashion field, detail factors refer to a mentor, supporter, competitor and a follower. Fashion designer's creativity manifests itself when detail factors of an individual fashion designer, fashion domain and field interact with each other dynamically.

• Journal of the Korean Mathematical Society
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• v.43 no.6
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• pp.1143-1158
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• 2006

We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space. We can measure the volume of a domain lying across the boundary of the hyperbolic space using an analytic continuation argument. In this paper we show this method can be further generalized to find the volume of a domain with smooth boundary with suitable regularity in dimension 2 and 3. We also discuss that this volume is invariant under the group of hyperbolic isometries and that this regularity condition is sharp.

• Journal of the Korean Mathematical Society
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• v.49 no.1
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• pp.17-30
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• 2012

Let D be an arbitrary domain in $\mathbb{C}^n$, n > 1, and $M{\subset}{\partial}D$ be an open piece of the boundary. Suppose that M is connected and ${\partial}D$ is smooth real-analytic of finite type (in the sense of D'Angelo) in a neighborhood of $\bar{M}$. Let f : $D{\rightarrow}\mathbb{C}^n$ be a holomorphic correspondence such that the cluster set $cl_f$(M) is contained in a smooth closed real-algebraic hypersurface M' in $\mathbb{C}^n$ of finite type. It is shown that if f extends continuously to some open peace of M, then f extends as a holomorphic correspondence across M. As an application, we prove that any proper holomorphic correspondence from a bounded domain D in $\mathbb{C}^n$ with smooth real-analytic boundary onto a bounded domain D' in $\mathbb{C}^n$ with smooth real-algebraic boundary extends as a holomorphic correspondence to a neighborhood of $\bar{D}$.

• The Journal of the Acoustical Society of Korea
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• v.25 no.5
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• pp.229-238
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• 2006

This paper shows the analytic error caused by the inconsistency of the approximation order between the non local boundary condition (NLBC) and the parabolic governing equation. To obtain the analytic error, we first transform the NLBC to the half space domain using plane wave analysis. Then, the analytic error is derived on the boundary between the true numerical domain and the half space domain equivalent to the NLBC. The derived analytic error is physically expressed as the artificial reflection. We examine the characteristic of the analytic error for the grazing angle, the approximation order of the PE or the NLBC. Our main contribution is to present the analytic method of error estimation and the application limit for the high order parabolic equation and the NLBC.

• Journal of the Korean Mathematical Society
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• v.59 no.6
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• pp.1171-1184
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• 2022

We study the real-analytic continuation of local real-analytic solutions to the Cauchy problems of quasi-linear partial differential equations of first order for a scalar function. By making use of the first integrals of the characteristic vector field and the implicit function theorem we determine the maximal domain of the analytic extension of a local solution as a single-valued function. We present some examples including the scalar conservation laws that admit global first integrals so that our method is applicable.

• Communications of the Korean Mathematical Society
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• v.35 no.3
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• pp.789-797
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• 2020

By considering a certain univalent function in the open unit disk 𝕌, that maps 𝕌 onto a strip domain, we introduce a new class of analytic and close-to-convex functions by means of a certain non-homogeneous Cauchy-Euler-type differential equation. We determine the coefficient bounds for functions in this new class. Relevant connections of some of the results obtained with those in earlier works are also provided.