• Kyungpook Mathematical Journal
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• v.50 no.2
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• pp.237-253
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• 2010

It is shown that an appropriate combination of methods, relevant to operational calculus and to special functions, can be a very useful tool to establish and treat a new class of Hermite and Konhauser polynomials. We explore the formal properties of the operational identities to derive a number of properties of the new class of Hermite and Konhauser polynomials and discuss the links with various known polynomials.

• Honam Mathematical Journal
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• v.41 no.1
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• pp.35-49
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• 2019

In this work, it is shown that the combination of operational techniques and the use of the principle of quasi-monomiality can be a very useful tool for a more general insight into the theory of matrix polynomials and for their extension. We explore the formal properties of the operational rules to derive a number of properties of certain class of matrix polynomials and discuss the operational links with various known matrix polynomials.

• Communications of the Korean Mathematical Society
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• v.30 no.4
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• pp.429-438
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• 2015

In this paper, we discuss how the operational calculus can be exploited to the theory of mixed generating functions. We use operational methods associated with multi-variable Hermite polynomials, Laguerre polynomials and Bessels functions to drive identities useful in electromagnetism, fluid mechanics etc. Certain special cases giving bilateral generating relations related to these special functions are also discussed.

• Journal of applied mathematics & informatics
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• v.42 no.3
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• pp.681-693
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• 2024

In this work, we take advantage of Weisnerś group-theoretic and operational identities technique to establish generating functions for the phase-space Hermite polynomials of two-index and two-variables.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.473-484
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• 2018

In this paper, we discuss how the operational calculus can be exploited to the theory of generalized special functions of many variables and many indices. We obtained the generating relations for 3-index, 3-variable and 1-parameter Hermite polynomials. Some mixed type generating relations and bilateral generating relations of many indices and many variable like Lagurre-Hermite and Hermite-Sister Celine's polynomials are also obtained. Further we generalize some results on old symbolic notations using operational identities.

• Journal of the Korean Institute of Landscape Architecture
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• v.38 no.5_2
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• pp.176-185
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• 2010

This study aimed to clarify meanings of Palkyung(八景) in different regions which can be considered as the prototype of the region's cultural landscape and also to confirm the change process by pointing out landscape characteristics and finally, to provide a foundation for the regions to establish their own identities, so they could be provided against the changes from developments in other areas. The relationship between the characteristics of landscape values and the components of 32 Palkyung in 4 places those are Gogunsan, Wido, Gunsan and Byunsan under Saemankeum area have been analyzed and evaluated from operational point of view to clarify the structure of the landscape concept. Some important differentiation points would be the sunset of the West Sea, sailing boats and the sceneries related to fishing as they are in the West Sea Islands and the coastal regions; and it clearly reflects the local customs and the characteristics of the landscapes. Each of Gogunsan, Wido and Gunsan Palkyung has 2 distance views with 4km of visible area while Byunsan Palkyung has only 1; and it is considered that because it is mountain area. Most of the Byunsan Palkyung has close range views except for Seohaenakjo and there are around 4 close range views in other areas. There were 4 landscape dominated influence areas each in Gunsan and Byunsan, which means that there are comparatively more close to middle range views. Moreover, each region contains 2 to 3 views of psychological influence but as mentioned, Byunsan has only 1 view of psychological influence. Therefore it is very important and valuable thing to consider the scenic relationship, preservation and reconstruction of Palkyung when planning the project.

• Journal of the Daesoon Academy of Sciences
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• v.35
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• pp.393-426
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• 2020

In the past, holy sites were mainly designated on a basis of archaeological norms and endowed with a specific fixed identity according to historical, religious, and contextual interpretations. However, approaches to these sites are more flexible in recent times. These locations transcend the boundaries of space and time to enable the experience of diverse transformation and reveal multiple religious identities which are embedded in the complex interaction between power and authority. In this regard, the dynamic meanings of the religious symbology of Daesoon Jinrihoe's temple complexes, imagery, and the spatial structures enable us to grant them a new identity by re-establishing these structures as World Heritage sites. Temple complexes (dojang) correspond to the outstanding universal values identified by UNESCO in that the spiritual activities conducted at these holy sites draw the same attention as would be drawn by historical value. In this context, this study aims to explore the potential for Daesoon Jinrihoe's temple complexes to be designated UNESCO world heritage sites. To carry out this study, existing religious heritage sites such as Mount Athos Monasteries in Greece and Lumbini in Nepal are examined as case studies, and the operational plan, conservation, protection of relics, and interaction with its neighboring community and tourists are likewise closely examined in this study.

• Journal of the Korean Institute of Landscape Architecture
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• v.44 no.2
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• pp.130-142
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• 2016

After the revision of the Urban Park Act in 2005, historical parks emerged in Korea to promote the preservation of historical heritage while also offering recreation and education to ordinary citizens. It is now time to examine the characteristics of domestic historical parks by examining their current operational conditions, and seek appropriate institutional improvements. By studying the characteristics of historical parks in various countries, as well as the trends in the designation and development of domestic historical parks, this study attempts to examine the function and role of historical parks, and seeks a direction for future action. Through its literature review, this study also examines the current state of historical parks through cooperation with relevant public officials and experts. The results of the study show that, despite historical resources being concentrated in sites dating to the Joseon Dynasty, they also include heritage pertaining to persons, events, and places. There is also a trend toward increasing the focus on modern heritage. Historical parks show differences across existing cities and new towns, as well as between major cities and provincial cities. Provincial cities showed a recent trend of using historical parks as important resources for strengthening their economics and solidifying their identities. Also, there are many cases where the designated category for a park is changed to a historical park. In such cases, there may be a problem where certain functions of the park run into conflict. Domestic historical parks can be divided into four categories: heritage parks, memorial parks, historical theme parks, and historic parks. Such detailed classification schemes may serve as the strategic foundation for later conservation and usage of historical heritage, as well as a standard for suggesting concrete direction in the operation of historical parks.