• Korean Journal of Mathematics
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• v.29 no.2
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• pp.293-304
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• 2021

In this paper, we present a Schwarz lemma at the boundary for analytic functions at the unit disc, which generalizes classical Schwarz lemma for bounded analytic functions. For new inequalities, the results of Rogosinski's lemma, Subordination principle and Jack's lemma were used.

• Kyungpook Mathematical Journal
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• v.49 no.4
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• pp.713-723
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• 2009

The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

• The Pure and Applied Mathematics
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• v.27 no.4
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• pp.157-169
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• 2020

In this paper, we improve a new boundary Schwarz lemma, for analytic functions in the unit disk. For new inequalities, the results of Rogosinski's lemma, Subordinate principle and Jack's lemma were used. Moreover, in a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, the estimations below of the modulus of angular derivative have been obtained.

• Honam Mathematical Journal
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• v.39 no.2
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• pp.233-245
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• 2017

In the present paper we introduce and investigate an interesting subclass ${\mathcal{K}}^{(k)}_s({\gamma},p) $ of analytic and p-valently close-to-convex functions in the open unit disk ${\mathbb{U}}$. For functions belonging to this class, we derive several properties as the inclusion relationships and distortion theorems. The various results presented here would generalize many known recent results.

• Communications of the Korean Mathematical Society
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• v.37 no.2
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• pp.537-549
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• 2022

In this paper, we consider a convex univalent function f_α,β which maps the open unit disc 𝕌 onto the vertical strip domain Ω_α,β = {w ∈ ℂ : α < ℜ < (w) < β} and introduce new subclasses of both close-to-convex and bi-close-to-convex functions with respect to an odd starlike function associated with Ω_α,β. Also, we investigate the Fekete-Szegö type coefficient bounds for functions belonging to these classes.

• Journal of the Korean Society for information Management
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• v.22 no.2 s.56
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• pp.57-85
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• 2005

Bliss stated that one of the purposes of the classification was to demonstrate that a coherent and comprehensive system, based on the logical principles of classification and consistent with the systems of science and education, may be available to services in libraries, to aid revision of long established classifications and to provide an adaptable, efficient and economical classification, notation and index. A fundamental principle is the idea of subordination each specific subject is subordinated to the appropriate general one. The full scheme followed the publication of two massive theoretical works on the organization of knowledge. Its main feature was the carefully designed maul class order. reflecting Comte principle of gradation in speciality.

• Journal of the Korean Mathematical Society
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• v.57 no.2
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• pp.331-357
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• 2020

Let p be an analytic function defined on the open unit disk 𝔻. We obtain certain differential subordination implications such as ψ(p) := p^λ(z)(α+βp(z)+γ/p(z)+δzp'(z)/p^j(z)) ≺ h(z) (j = 1, 2) implies p ≺ q, where h is given by ψ(q) and q belongs to 𝒫, by finding the conditions on α, β, γ, δ and λ. Further as an application of our derived results, we obtain sufficient conditions for normalized analytic function f to belong to various subclasses of starlike functions, or to satisfy |log(zf'(z)/f(z))| < 1, |(zf'(z)/f(z))² - 1| < 1 and zf'(z)/f(z) lying in the parabolic region v² < 2u - 1.

• 한국사회정책
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• v.23 no.3
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• pp.49-77
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• 2016

The aim of this study is to reveal errors in the estimations on the nonstandard workers scale which have resulted from little consideration for bogus self-employment. Bogus self-employment means disguised employment relationships that are considered to be self-employed workers even though they have inherent subordination. The methods of previous studies estimate that the bogus self-employed workers are excluded from estimations because they are not workers in principle. We analyze the scale of the bogus self-employments using the empirical data [the Korean Welfare Panel of 2008-2013(six wave panel)] to re-estimate the scale of non-standard workers. In 2013, the year of the last wave, the percentage of the bogus self-employment was high, the proportion of them is 28.5% among self-employment without owning a place of business. Our results expect the number of contract workers from re-analysis would be over 740 thousand when reflecting on the predictive value in the actual number of paid workers. In conclusion, it is necessary to apply reasonable methods of analysis concerning the scope and scale of the nonstandard workers for the sake of coping with measures against the problem of nonstandard workers. The aim of this study is to reveal the estimation error on nonstandard workers' scale which are resulted from having no consideration for bogus self-employment. Bogus self-employment means disguised employment relationship that is considered as self-employment workers even though they have inherent subordination. The methods of previous researches' estimation on nonstandard workers have the problem that the bogus self-employment workers are excluded from estimation because they are not workers in principle.

• Journal of Contemporary Eastern Asia
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• v.19 no.2
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• pp.20-39
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• 2020

In order to overturn the exclusion of Korean schools from the newly implemented free tuition program (2010) as part of sanctions against North Korea, members of Korean schools and Japanese supporters have focused on "students' innocence" and "multicultural coexistence" as viable frameworks to explain why the students are sympathetic and legitimate subjects who deserve equal rights. Examining different political strategies employed by the Korean schools and their supporters through ethnography and media analysis, the article pays close attention to how they claim their eligibility for these rights while they negotiate state surveillance and intervention in the process. I argue that in their efforts to gain recognition as deserving and sympathetic subjects, Korean schools are trapped in what political theorist Patchen Markell calls a "permanent temptation" in pursuing "recognition." Anti-North Korea sentiments in Japan have made the desire for good recognition even more urgent among Korean school community members. The paper will demonstrate that the search for recognition unwittingly reinforces and perpetuates existing relations of subordination and state dominance over their education as it has forced the Korean schools to accept various "conditions" that would radically alter the core principle, mission, and pedagogy of Korean school education that is rooted in decolonizing theory and praxis. This paper will shed lights on dilemma of multicultural coexistence the Korean minority population faces in Japan today.