• Human Ecology Research
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• v.60 no.2
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• pp.177-186
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• 2022

The purpose of this study was to explore the relationships among mothers' reflective function, preschoolers' empathy, executive function, caring behaviors. Subjects for this study were 498 preschoolers and their mothers. Mothers' reflective function was assessed by the Parental Reflective Functioning Questionnaire(PRFQ). Preschoolers' empathy was assessed by the Questionnaire of Cognitive and Affective Empathy(QCAE). Preschoolers' executive function was assessed by the Behavioral Rating Inventory of Executive Functions-Preschool Version(BRIEF-P), and caring behaviors were assessed by the caring behaviors scale(Kim, 2015). Data were analyzed using descriptive statistics, confirmatory factor analysis(CFA), and structural equation model(SEM) with the SPSS 25.0 and AMOS 23.0 program. The major results of this study were as follows. First, mothers' reflective function showed direct effects on preschoolers' empathy, executive function, and caring behaviors. Second, the preschoolers' empathy and executive function showed direct effects on preschoolers' caring behaviors. Third, preschoolers' empathy mediated the effects of mothers' reflective function on preschoolers' caring behaviors. The findings of this study will contribute to designing intervention programs to improve preschoolers' empathy, executive function, and caring behaviors.

• The Journal of the Korea institute of electronic communication sciences
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• v.8 no.11
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• pp.1763-1770
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• 2013

The purpose of this study was to investigate the correlation amongst the social function, communication function, activities of daily living and gross motor function beyond existing research on physical function and functional capacity in cerebral palsy. 43 children with cerebral palsy participated in this study and significant correlations were found among social function, communication function, activities of daily living and gross motor function. The greatest significant correlations were found between social function and activities of daily living. Significant higher correlations were found between items of social function and communication, but were lower between social function and gross motor function. The results showed that we consider the social aspects of function of children with cerebral palsy in the area of rehabilitation in order to focus on the problem in real life.

• Honam Mathematical Journal
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• v.38 no.1
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• pp.9-15
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• 2016

In this paper, the authors establish some double inequalities concerning the (q, k)-deformed Gamma function. These inequalities emanate from certain problems of traffic flow. The procedure makes use of the integral representation of the (q, k)-deformed Gamma function.

• Honam Mathematical Journal
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• v.38 no.1
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• pp.17-23
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• 2016

This paper deals with the study of newly defined special function known as k-Bessel's function due to Gehlot [2]. Certain integral representations of k-Bessel's function are investigated. Known integrals of classical Bessel's function are seen to follow as special cases of our main results.

• Journal for History of Mathematics
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• v.23 no.3
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• pp.75-90
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• 2010

In this paper function concept is classified in the phenomenological aspect. According to the study, function concept is classified as causality, designation, operation, change, figure, morhism, variables, functional, and operator. This classifications are categorized as pre-level function, basic level function, and upper level function.

• Proceedings of the Korean Statistical Society Conference
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• 2004.11a
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• pp.129-134
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• 2004

In this study, we investigate the effects of the weight function in the bounded influence regression quantile (BIRQ) estimator for the AR(1) model with additive outliers. In order to down-weight the outliers of X-axis, the Mallows' (1973) weight function has been commonly used in the BIRQ estimator. However, in our Monte Carlo study, the BIRQ estimator using the Tukey's bisquare weight function shows less MSE and bias than that of using the Mallows' weight function or Huber's weight function.

• Bulletin of the Korean Mathematical Society
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• v.33 no.2
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• pp.289-294
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• 1996

The double Gamma function had been defined and studied by Barnes [4], [5], [6] and others in about 1900, not appearing in the tables of the most well-known special functions, cited in the exercise by Whittaker and Waston [25, pp. 264]. Recently this function has been revived according to the study of determinants of Laplacians [8], [11], [15], [16], [19], [20], [22] and [24]. Shintani [21] also uses this function to prove the classical Kronecker limit formula. Its p-adic analytic extension appeared in a formula of Casson Nogues [7] for the p-adic L-functions at the point 0.

• Communications of the Korean Mathematical Society
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• v.31 no.2
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• pp.329-342
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• 2016

Motivated essentially by Brychkov's work [1], we evaluate some new integrals involving hypergeometric function and the logarithmic function (including those obtained by Brychkov[1], Choi and Rathie [3]), which are expressed explicitly in terms of Gamma, Psi and Hurwitz zeta functions suitable for numerical computations.

• Honam Mathematical Journal
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• v.36 no.3
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• pp.659-668
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• 2014

In this paper, we express the Green function in terms of the classical kernel functions in potential theory. In particular, we obtain a formula relating the Green function and the Szegő kernel function which consists of only the Szegő kernel function in a $C^{\infty}$ smoothly bounded finitely connected domain in the complex plane.

• Honam Mathematical Journal
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• v.33 no.2
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• pp.187-206
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• 2011

The main object of this paper is to present generalization of extended beta function, extended hypergeometric and confluent hypergeometric function introduced by Chaudhry et al. and obtained various integral representations, properties of beta function, Mellin transform, beta distribution, differentiation formulas transform formulas, recurrence relations, summation formula for these new generalization.