• 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.

• The Pure and Applied Mathematics
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• v.21 no.2
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• pp.141-145
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• 2014

In the paper, by directly verifying an inequality which gives a lower bound for the first order modified Bessel function of the first kind, the authors supply a new proof for the complete monotonicity of a difference between the exponential function $e^{1/t}$ and the trigamma function ${\psi}^{\prime}(t)$ on (0, ${\infty}$).

• Bulletin of the Korean Mathematical Society
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• v.61 no.1
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• pp.135-145
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• 2024

We consider a function-field analogue of Dirichlet series associated with the Goldbach counting function, and prove that it can, or cannot, be continued meromorphically to the whole plane. When it cannot, we further prove the existence of the natural boundary of it.

• Communications of the Korean Mathematical Society
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• v.12 no.2
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• pp.293-303
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• 1997

The existence theorem for the operator valued function space integral has been studied, when the wave function was in $L_1(R)$ class and the potential energy function was represented as a double integra [4]. Johnson and Lapidus established the existence theorem for the operator valued function space integral, when the wave function was in $L_2(R)$ class and the potential energy function was represented as an integral involving a Borel measure [9]. In this paper, we establish the existence theorem for the operator valued function we establish the existence theorem for the operator valued function space integral as an operator from $L_1(R)$ to $L_\infty(R)$ for certain potential energy functions which involve double integrals with some Borel measures.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.29 no.3C
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• pp.368-373
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• 2004

Extremely fine tine resolution of ultra-wideband (UWB) signal poses a new problems to the system designer. A reasonable accuracy of the system clock is necessary to process signals with such a high space resolution. A useful way of illustrating the time resolution of a signal is to evaluate the ambiguity function. The ambiguity function for carrierless UWB defined using the time mismatch and time scaling factor as its two parameters. The UWB ambiguity function is evaluated for various signaling schemes of impulse radio.

• East Asian mathematical journal
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• v.35 no.1
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• pp.23-30
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• 2019

Since Mittag-Leffler introduced the so-called Mittag-Leffler function, a number of its extensions have been investigated due mainly to their applications in a variety of research subjects. Shukla and Prajapati presented a lot of formulas involving a generalized Mittag-Leffler function in a systematic manner. Motivated mainly by Shukla and Prajapati's work, we aim to investigate a generalized multi-index Mittag-Leffler function and, among possible numerous formulas, choose to present several formulas involving this generalized multi-index Mittag-Leffler function such as a recurrence formula, derivative formula, three integral transformation formulas. The results presented here, being general, are pointed out to reduce to yield relatively simple formulas including known ones.

• Kyungpook Mathematical Journal
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• v.64 no.1
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• pp.95-111
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• 2024

The filled function method is useful in solving unconstrained global optimization problems. However, depending on the type of function, and parameters used, there are limitations that cause difficultiies in implemenations. Exponential and logarithmic functions lead to the overflow effect, requiring iterative adjustment of the parameters. This paper proposes a polynomial-filled function that has a general form, is non-exponential, nonlogarithmic, non-parameteric, and continuously differentiable. With this newly proposed filled function, the aforementioned shortcomings of the filled function method can be overcome. To confirm the superiority of the proposed filled function algorithm, we apply it to a set of unconstrained global optimization problems. The data derived by numerical implementation shows that the proposed filled function can be used as an alternative algorithm when solving unconstrained global optimization problems.

• Journal of the Korea Institute of Information Security & Cryptology
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• v.17 no.4
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• pp.47-52
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• 2007

In this paper, we proposed a constrution that creates Dynamic Pipe Hash Function with a pipe hash function. To increase security lever, dynamic hash function take and additional compression function. Proposed hash function based on the piped hash function. Our proposed Dynamic Pipe Hash Function is as secure against multicollision attack as an ideal hash function. And it have advantage for a number of reasons because of variable digest size. For example, in digital signature protocol, If a user requires increased security by selecting a large key size, useing a dynamic hash function in a protocol make implementation much easier when it is mandated that the size of the digest by increased.

• Journal of the Korean Home Economics Association
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• v.50 no.6
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• pp.77-87
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• 2012

The purpose of this study is to investigate the influence of the mentoring function and mentor trust on the intention to reparticipate in the mentoring program, focusing on university students in fashion related departments. To achieve the purpose, research was conducted through a survey questionnaire. The questionnaire data from 223 university students in fashion related departments who experienced mentoring programs were analyzed. SPSS 18.0 and AMOS 7.0 statistical packages were used to investigate a structural model and test research hypotheses. The results derived from the analysis of the questionnaire survey were summarized as follows. First, the result showed that the mentoring function was composed of three factors: a sensitivity developmental function, psychosocial function, and fashion career developmental function. Second, the sensitivity developmental function, psychosocial function, and fashion career developmental function positively affected mentor trust. Third, the sensitivity developmental function positively affected the intention to reparticipate in the mentoring program, while the psychosocial function and fashion career developmental function did not influence the intention to reparticipate in the mentoring program. Fourth, mentor trust positively influenced the intention to reparticipate in the mentoring program. The results of the current study would be useful for the professor and university administrator who would like to establish a mentoring program in a fashion related department, by exploring the relation of mentoring function, mentor trust and the intention to reparticipate in the mentoring program.

• Journal of Nutrition and Health
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• v.31 no.9
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• pp.1457-1467
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• 1998

The relationship between cognitive function and dietary patterns in Korean elderly women was investigated in this study. Twenty-four-hour dietary recall and cognitive function tests were performed in 170 elderly women aged over 60 years. Average age of the subjects was 71 years and the average number of family members was 3.3. Most of the subjects had less than seven years of education and their monthly income was much lower than the Korean average. Most of the subjects engaged in regular exercise and did not indulge in drinking and smoking. The average cognitive function score of the subjects was 58.4. Most of the subjects appeared to consume insufficient amount of food ; average intakes of energy, Ca, iron, vitamin A, and riboflavin were lower than RDA for the elderly. Cognitive function score was positively related to education level and regularity of exercise. Also, cognitive function score had a strong relationship with food intake such as total amounts of foods, fish and shellfish, milk and dairy products, total animal food, fruit, bread and sugar. Energy, protein, Ca, p, riboflavin, and niacin were also shown to have positive relationships to cognitive function score, while carbohydrate caloric ratio had a negative relationship with cognitive function. According to the results of multiple regression analysis, factors that most influenced on cognitive function were education level and riboflavin intake. The subjects who had more than seven years of education had significantly higher cognitive function scores than those with no school education. And cognitive function scores f3r those who consumed more than 2/3 of the RDA for most nutrients were significantly higher than the ones fir the subjects who consumed less than 2/3 of the RDA. These results suggest that proper education and adequate nutrient intake in quantity and quality by achieving food diversity are essential in maintaining cognitive function in later life (Korean J Nutrition 31(9) : 1457-1467, 1998)