• Communications for Statistical Applications and Methods
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• 제16권3호
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• pp.541-547
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• 2009

We consider distribution, reliability and moment of ratio in two independent beta random variables X and Y, and reliability and $K^{th}$ moment of ratio are represented by a mathematical generalized hypergeometric function. We introduce an approximate maximum likelihood estimate(AML) of reliability and right-tail probability in the beta distribution.

• 기본간호학회지
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• 제19권3호
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• pp.374-382
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• 2012

Purpose: The study was done to influence of family function and degree of depression on impulsive behavior in adolescents. Method: Using convenience sampling 780 adolescents were recruited from October 29 and November 9, 2011. Data were collected using self-report questionnaires which included items on general characteristics, family function, depression, and impulsive behavior. Data were analyzed using t-test, ANOVA, Scheffe test, Pearson Correlation Coefficient, and hierarchical regression analysis. Results: The major findings of this study were as follow; 1) There was a significant negative relationship between family function and impulsive behavior (r=-.236, p<.001) and a positive relationship between depression and impulsive behavior (r=.342, p<.001). 2) Factors with a significant negative association with impulsive behavior were higher school records (${\beta}$=-.112, p<.001) and family function: positive resolution of family problems (${\beta}$=-.213, p=.008), while a significant positive association was found for unsatisfactory school life (${\beta}$=.103, p=.016), family function: emotional reactivity (${\beta}$=.159, p=.028), and depression (${\beta}$=.301, p<.001). These variables explained 20.1% of variance for impulsive behavior. Conclusion: The results of this study identify a relationship between family function, depression, and impulsive behavior in adolescents indicating variables to be addressed to reduce impulsive behavior. These variables can be used in developing intervention programs.

• 대한지역사회영양학회지
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• 제17권2호
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• pp.243-257
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• 2012

The purpose of this study was to evaluate pancreatic ${\beta}$-cell function of Korean adult and to examine the associations between ${\beta}$-cell function and nutrient intakes. Data were analyzed for 1,917 male and 2,885 female subjects older than 30 years using 'The Forth Korean National Health and Nutrition Survey in 2009'. We calculated HOMA ${\beta}$-cell (The homeostasis model assessment of ${\beta}$-cell function) using fasting glucose and fasting insulin for assessing ${\beta}$-cell function. Subjects were divided into HHG (High HOMA ${\beta}$-cell Group) or LHG (Low HOMA ${\beta}$-cell Group) according to median of HOMA ${\beta}$-cell, and then nutrient intakes were compared between two groups. In the entire study population, HHG showed lower percent of carbohydrate intakes (p < 0.05), and higher fat (p < 0.01), percent of fat (p < 0.05), vitamin A (p < 0.05), carotene (p < 0.05) and riboflavin (p < 0.05) intakes than LHG. In addition, levels of HOMA ${\beta}$-cell were negatively correlated with percent of carbohydrate (${\beta}$ = -0.040, p < 0.05), and positively correlated with percent of fat (${\beta}$ = 0.046, p < 0.01). The subjects were then divided into two subgroups according to body mass index values, either $23kg/m^2$ (under- and normal-weight) or ${\geq}23kg/m^2$ (over-weight and obese). Significant differences of some nutrients intakes and correlations with HOMA ${\beta}$-cell were observed only in under- and normal weight subjects, but not in over-weight and obese subjects. In conclusion, high carbohydrate, lower fat and lower vitamin intakes may be related with pancreatic ${\beta}$-cell dysfunction in under- and normal-weight Korean.

• 대한수학회논문집
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• 제36권4호
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• pp.705-714
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• 2021

The Whittaker function and its diverse extensions have been actively investigated. Here we aim to introduce an extension of the Whittaker function by using the known extended confluent hypergeometric function 𝚽_p,v and investigate some of its formulas such as integral representations, a transformation formula, Mellin transform, and a differential formula. Some special cases of our results are also considered.

• East Asian mathematical journal
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• 제31권1호
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• pp.103-107
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• 2015

We use some known contiguous function relations for $_2F_1$ to show how simply the following three recurrence relations for Jacobi polynomials $P_n^{({\alpha},{\beta)}(x)$: (i) $({\alpha}+{\beta}+n)P_n^{({\alpha},{\beta})}(x)=({\beta}+n)P_n^{({\alpha},{\beta}-1)}(x)+({\alpha}+n)P_n^{({\alpha}-1,{\beta})}(x);$ (ii) $2P_n^{({\alpha},{\beta})}(x)=(1+x)P_n^{({\alpha},{\beta}+1)}(x)+(1-x)P_n^{({\alpha}+1,{\beta})}(x);$ (iii) $P_{n-1}^{({\alpha},{\beta})}(x)=P_n^{({\alpha},{\beta}-1)}(x)+P_n^{({\alpha}-1,{\beta})}(x)$ can be established.

• 대한수학회논문집
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• 제30권4호
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• pp.403-414
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• 2015

Extensions of some classical special functions, for example, Beta function B(x, y) and generalized hypergeometric functions $_pF_q$ have been actively investigated and found diverse applications. In recent years, several extensions for B(x, y) and $_pF_q$ have been established by many authors in various ways. Here, we aim to generalize Appell's hypergeometric functions of two variables and Lauricella's hypergeometric function of three variables by using the extended generalized beta type function $B_p^{({\alpha},{\beta};m)}$ (x, y). Then some properties of the extended generalized Appell's hypergeometric functions and Lauricella's hypergeometric functions are investigated.

• Tuberculosis and Respiratory Diseases
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• 제79권4호
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• pp.257-266
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• 2016

Background: Idiopathic pulmonary fibrosis is a common interstitial lung disease; it is a chronic, progressive, and fatal lung disease of unknown etiology. Over the last two decades, knowledge about the underlying mechanisms of pulmonary fibrosis has improved markedly and facilitated the identification of potential targets for novel therapies. However, despite the large number of antifibrotic drugs being described in experimental pre-clinical studies, the translation of these findings into clinical practices has not been accomplished yet. NADH:quinone oxidoreductase 1 (NQO1) is a homodimeric enzyme that catalyzes the oxidation of NADH to $NAD^+$ by various quinones and thereby elevates the intracellular $NAD^+$ levels. In this study, we examined the effect of increase in cellular $NAD^+$ levels on bleomycin-induced lung fibrosis in mice. Methods: C57BL/6 mice were treated with intratracheal instillation of bleomycin. The mice were orally administered with ${\beta}$-lapachone from 3 days before exposure to bleomycin to 1-3 weeks after exposure to bleomycin. Bronchoalveolar lavage fluid (BALF) was collected for analyzing the infiltration of immune cells. In vitro, A549 cells were treated with transforming growth factor ${\beta}1$ (TGF-${\beta}1$) and ${\beta}$-lapachone to analyze the extracellular matrix (ECM) and epithelial-mesenchymal transition (EMT). Results: ${\beta}$-Lapachone strongly attenuated bleomycin-induced lung inflammation and fibrosis, characterized by histological staining, infiltrated immune cells in BALF, inflammatory cytokines, fibrotic score, and TGF-${\beta}1$, ${\alpha}$-smooth muscle actin accumulation. In addition, ${\beta}$-lapachone showed a protective role in TGF-${\beta}1$-induced ECM expression and EMT in A549 cells. Conclusion: Our results suggest that ${\beta}$-lapachone can protect against bleomycin-induced lung inflammation and fibrosis in mice and TGF-${\beta}1$-induced EMT in vitro, by elevating the $NAD^+$/NADH ratio through NQO1 activation.

• 보건의료산업학회지
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• 제9권3호
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• pp.201-210
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• 2015

Objectives : The purpose of this study was to identify the effect on cognitive function in elderly people above 65 years of age. Methods : The data were collected from June 1 to August 30 2014. Data were collected by questionnaire from 994 elderly people. The instruments for this study were ADL, IADL, depression, MMSE-DS. The data were analyzed using descriptive statistics, t-test, ANOVA, Pearson's correlation coefficients, multiple linear regression with the SPSS/WIN 18.0 program. Results : The significant factors influencing MMSE-DS were education(${\beta}=-0.314$, p<.001), IADL(${\beta}=0.196$, p<.001), age(${\beta}=-0.168$, p<.001), exercise time(${\beta}=0.089$, p=.004), economic conditions(${\beta}=0.086$, p=.007), depression(${\beta}=-0.084$, p=.001), income(${\beta}=-0.083$, p=.003), sleep time(${\beta}=-0.079$, p=.001), medical insurance(${\beta}=0.059$, p=.024) and leisure(${\beta}=0.057$, p=.039). Conclusions : Based on the study, subjects with cognitive impairment detected at an early stage it is necessary to intervene in consideration of the individual characteristics and to develop and apply the program that improve the living habits such as exercise and sleep, and decreasing depression.

• 대한수학회논문집
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• 제25권4호
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• pp.557-569
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• 2010

Suppose that n is a positive integer. For any real number $\alpha$($\beta$ resp.) with $\alpha$ < 1 ($\beta$ > 1 resp.), let $K^{(n)}(\alpha)$ ($K^{(n)}(\beta)$ resp.) be the class of analytic functions in the unit disk $\mathbb{D}$ with f(0) = f'(0) = $\cdots$ = $f^{(n-1)}(0)$ = $f^{(n)}(0)-1\;=\;0$, Re($\frac{zf^{n+1}(z)}{f^{(n)}(z)}+1$) > $\alpha$ (Re($\frac{zf^{n+1}(z)}{f^{(n)}(z)}+1$) < $\beta$ resp.) in $\mathbb{D}$, and for any ${\lambda}\;{\in}\;\bar{\mathbb{D}}$, let $K^{(n)}({\alpha},\;{\lambda})$ $K^{(n)}({\beta},\;{\lambda})$ resp.) denote a subclass of $K^{(n)}(\alpha)$ ($K^{(n)}(\beta)$ resp.) whose elements satisfy some condition about derivatives. For any fixed $z_0\;{\in}\;\mathbb{D}$, we shall determine the two regions of variability $V^{(n)}(z_0,\;{\alpha})$, ($V^{(n)}(z_0,\;{\beta})$ resp.) and $V^{(n)}(z_0,\;{\alpha},\;{\lambda})$ ($V^{(n)}(z_0,\;{\beta},\;{\lambda})$ resp.). Also we shall determine the extreme points of the families of analytic functions which satisfy $f(\mathbb{D})\;{\subset}\;V^{(n)}(z_0,\;{\alpha})$ ($f(\mathbb{D})\;{\subset}\;V^{(n)}(z_0,\;{\beta})$ resp.) when f ranges over the classes $K^{(n)}(\alpha)$ ($K^{(n)(\beta)$ resp.) and $K^{(n)}({\alpha},\;{\lambda})$ ($K^{(n)}({\beta},\;{\lambda})$ resp.), respectively.

• 호남수학학술지
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• 제38권2호
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• pp.325-335
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• 2016

In the present paper, we define the generalized extended Whittaker function in terms of generalized extended conflent hypergeometric function of the first kind. We also study its integral representation, some integral transforms and its derivative.