• Honam Mathematical Journal
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• v.35 no.1
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• pp.73-82
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• 2013

There are some identities between the representations of Hecke operators defined on a subspace of modular forms associated with orders of a Quaternion algebra. In this paper, we find the identities between the zeta functions attached to these representations.

• Korean Journal of Mathematics
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• v.19 no.4
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• pp.465-480
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• 2011

B. C. Berndt established many identities about infinite series. In this paper, continuing his work, we find new identities about infinite series containing hyperbolic functions and trigonometric functions.

• The Pure and Applied Mathematics
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• v.28 no.1
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• pp.27-42
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• 2021

In this paper, we exploit some known theta function identities involving two parameters ��k,n and ��′k,n for the theta function �� to find about 54 new values of the Ramanujan's cubic continued fraction.

• Journal of the Chungcheong Mathematical Society
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• v.35 no.4
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• pp.277-295
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• 2022

The author proved a modular transformation formula for a function related to generalized non-holomorphic Eisenstein series and, using this formula, established a lot of infinite series identities. In this paper, we find more generalized series relations which contain the author's previous work.

• Journal of applied mathematics & informatics
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• v.41 no.3
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• pp.687-696
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• 2023

In this paper, we introduce the 2-variable mixed-type Hermite polynomials and organize some new symmetric identities for these polynomials. We find induced differential equations to give explicit identities of these polynomials from the generating functions of 2-variable mixed-type Hermite polynomials.

• Bulletin of the Korean Mathematical Society
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• v.61 no.2
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• pp.335-353
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• 2024

The objective of this paper is to study some central identities involving generalized derivations and anti-automorphisms in prime rings. Using the tools of the theory of functional identities, several known results have been generalized as well as improved.

• Journal of the Korean Mathematical Society
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• v.54 no.4
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• pp.1243-1264
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• 2017

In this paper, we introduce w-Catalan polynomials as a generalization of Catalan polynomials and derive fourteen basic identities of symmetry in three variables related to w-Catalan polynomials and analogues of alternating power sums. In addition, specializations of one of the variables as one give us new and interesting identities of symmetry even for two variables. The derivations of identities are based on the p-adic integral expression for the generating function of the w-Catalan polynomials and the quotient of p-adic integrals for that of the analogues of the alternating power sums.

• Journal of Families and Better Life
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• v.34 no.3
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• pp.45-64
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• 2016

In order to understand Korean American immigrants'adjustment to American society, it is important to understand how their life rituals and ethnic identities maintain or change over time and across immigration generations. To achieve this goal, this study examined how Korean Americans who resided in the New York City metropolitan area and New Jersey State performed life rituals and formed ethnic identities. A total of 18 Korean immigrants participated in one-on-one in-depth interviews and the interview data were analyzed with the themes. The results showed that Korean Americans performed life rituals integrating both Korean and American cultural aspects. Many Korean Americans attempted to perform life rituals based on American cultural holidays and procedures. However, a majority of these Koreans also strived to maintain Korean ethnic identities and also practice traditionally Korean life rituals as a way to preserve this ethnic identity. These findings suggest that across time and generation, Korean Americans prefer to maintain their Korean cultural identity, while not shunning the adoption of typical "American" rituals. The way that Korean Americans practice and develop identities differs very little across immigration generation. These findings provide insight on how the Korean government may support foreigners and immigrant families in South Korea and Korean Americans' acculturation processes in the U.S.

• SUVANNABHUMI
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• v.8 no.2
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• pp.15-49
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• 2016

It is widely known that the Bugis people, originally from South Sulawesi, have been migrating to many places, including both the Indonesian and Malaysian sides of the borders today. The translocal and transnational movements of the Bugis people, especially to North Kalimantan of Indonesia and Sabah and Johor of Malaysia, have occurred in several waves, particularly during the 17th century, around 1965 and from 1980 to the present. The fall of the kingdom of Somba Opu in South Sulawesi and the rise Dutch colonial power have been the triggers for the early movement of the Bugis to both the Indonesian and Malaysian borders. This was followed by the second push of the Islamic rebellion in South Sulawesi, around 1965, creating another big wave of Bugis movement. The most recent one has been mainly due to economic reasons. These different phases of the movements, as well as the dynamic interplay of various aspects, such as citizenship, ethnic, and sub-ethnic groupings, practicing of cultural traditions and keeping the language, to mention a few, have contributed to the process of the construction of the multiple identities of the Bugis. Indeed, the Bugis people are no longer identified or identify themselves as a single group, but rather have fluid and contesting identities. This paper will discuss three main issues: the history of the translocal and transnational movements of the Bugis to North Kalimantan, Sabah and Johor; the process of adaptation to these new places; and the construction of Bugis identities.

• Honam Mathematical Journal
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• v.35 no.3
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• pp.373-379
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• 2013

In contrast with numerous identities involving the binomial coefficients and the Stirling numbers of the first and second kinds, a few identities involving the Eulerian numbers have been known. The objective of this note is to present certain interesting and (presumably) new identities involving the Eulerian numbers by mainly making use of Worpitzky's identity.