• Kyungpook Mathematical Journal
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• 제56권3호
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• pp.911-925
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• 2016

We obtain q-derivatives of Srivastava's general triple q-hypergeometric series with respect to its parameters. The particular cases leading to results for three Srivastava's triple q-hypergeometric series $H_{A,q}$, $H_{B,q}$ and $H_{C,q}$ are also considered.

• 한국산학기술학회논문지
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• 제9권6호
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• pp.1787-1794
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• 2008

Coenzyme $Q_{10}$과 그 유도체 coenzyme $Q_n$ 6종을 합성하고, 이들 유도체에 대하여 상피세포(LLC-PK1 cell)를 이용한 항산화 효과와 NIH/3T3 세포를 이용한 세포독성 실험을 실시하였다. 그 결과, 합성한 coenzyme $Q_n$ 유도체들이 coenzyme $Q_{10}$에 비해 우수한 항산화 효과를 나타내었으며, 그 중 coenzyme $Q_3$-C가 모든 농도에서 $107.7{\sim}135.9%$로 가장 우수한 효과를 나타내었다. 또한, 모든 coenzyme $Q_n$ 유도체들이 Coenzyme $Q_{10}$과 유사한 세포독성을 나타내었다. Coenzyme $Q_n$의 n수에 따른 항산화 효과 및 세포독성 실험에서 isoprene unit의 수가 적은 유도체들에서 우수한 효과를 나타내었다.

• 대한수학회지
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• 제55권1호
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• pp.101-129
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• 2018

From an analytical perspective, we introduce a sequence of Cartier operators that act on the field of formal Laurent series in one variable with coefficients in a field of positive characteristic p. In this work, we discover the binomial inversion formula between Hasse derivatives and Cartier operators, implying that Cartier operators can play a prominent role in various objects of study in function field arithmetic, as a suitable substitute for higher derivatives. For an applicable object, the Wronskian criteria associated with Cartier operators are introduced. These results stem from a careful study of two types of Cartier operators on the power series ring ${\mathbf{F}}_q$[[T]] in one variable T over a finite field ${\mathbf{F}}_q$ of q elements. Accordingly, we show that two sequences of Cartier operators are an orthonormal basis of the space of continuous ${\mathbf{F}}_q$-linear functions on ${\mathbf{F}}_q$[[T]]. According to the digit principle, every continuous function on ${\mathbf{F}}_q$[[T]] is uniquely written in terms of a q-adic extension of Cartier operators, with a closed-form of expansion coefficients for each of the two cases. Moreover, the p-adic analogues of Cartier operators are discussed as orthonormal bases for the space of continuous functions on ${\mathbf{Z}}_p$.

• Journal of Microbiology and Biotechnology
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• 제26권9호
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• pp.1620-1628
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• 2016

In this study, we investigated colistin resistance mechanisms associated with the regulation of the pbgP operon in Klebsiella pneumoniae, using four isogenic pairs of colistin-susceptible strains and their colistin-resistant derivatives and two colistin-resistant clinical isolates. Amino acid sequence alterations of PhoPQ, PmrAB, and MgrB were investigated, and mRNA expression levels of phoQ, pmrB, pmrD, and pbgP were measured using quantitative real-time PCR. The phoQ and pmrB genes were deleted from two colistin-resistant derivatives, 134R and 063R. We found that phoQ, pmrD, and pbgP were significantly upregulated in all colistin-resistant derivatives. However, pmrB was significantly upregulated in only two colistin-resistant derivatives and one clinical strain. pmrB was not overexpressed in the other strains. The minimum inhibitory concentration of colistin was drastically lower in both phoQ- and pmrB-deleted mutants from a colistin-resistant derivative (134R) that was overexpressing phoQ and pmrB. However, colistin susceptibility was restored only in a phoQ-deleted mutant from a colistin-resistant derivative (063R) without overexpression of pmrB. In conclusion, two different regulations of the pbgP operon may associate with the development of colistinresisant K. pneumoniae.

• Applied Biological Chemistry
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• 제51권3호
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• pp.164-170
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• 2008

Coenzyme $Q_{10}$과 6가지 coenzyme Qn 유토체들을 합성하였다. Coenzyme Qn유도체들을 murine melanoma(B16/F1)에 대한 멜라닌 생성 저해시험, collagenase 및 elastase 활성 저해시험을 실시하였다. 그 결과, 합성된 coenzyme Qn유도체들의 농도에 따른 멜라닌 생성억제, collagenase와 elastase의 활성 저해시험 모두에서 우수한 활성을 보여주었다. Coenzyme Qn화합물들 중 coenzyme $Q_1$과 coenzyme $Q_2$는 멜라닌 생성억제와 elastase 활성저해활성이 다른 coenzyme Qn유도체들보다 우수하게 나타났다. 하지만 collagenase 활성저해시험에서는 coenzyme Qn 화합물들이 80-85%의 collagenase 활성저해력을 나타내었다. 또한 coenzyme Qn들의 생리활성을 비교하면, collagenase 저해활성시험을 제외한 다른 효소활성에서는 isoprene unit의 n수가 적을수록 더 우수한 활성이 있음을 확인하였으며, collagenase의 경우 coenzyme Qn 화합물의 생리활성이 모두 유사함으로 isoprene unit의 n수보다 coenzyme Qn화합물의 benzoquinone에 의한 효과로 생각된다. 이와 같은 결과로, coenzyme $Q_1$과 coenzyme $Q_2$는 앞으로 새로운 기능성 화장품으로 사용될 수 있을 것으로 사료된다.

• 대한수학회보
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• 제59권2호
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• pp.431-452
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• 2022

For any positive integer 𝜇, we compute the mean value of the 𝜇-th derivative of quadratic Dirichlet L-functions over the rational function field 𝔽_q(t), where q is a power of 2.

• Kyungpook Mathematical Journal
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• 제50권4호
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• pp.473-482
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• 2010

In the present paper we define a q-extension of the Leibniz rule for q-derivatives via Weyl type q-derivative operator. Expansions and summation formulae for the generalized basic hypergeometric functions of one and more variables are deduced as the applications of the main result.

• Journal of applied mathematics & informatics
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• 제36권5_6호
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• pp.505-519
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• 2018

In this paper we define a (p, q)-Laplace transform. By using this definition, we obtain many properties including the linearity, scaling, translation, transform of derivatives, derivative of transforms, transform of integrals and so on. Finally, we solve the differential equation using the (p, q)-Laplace transform.

• 대한수학회논문집
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• 제33권1호
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• pp.207-236
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• 2018

We obtain recursion formulas for q-hypergeometric and q-Appell series. We also find recursion formulas for the general double q-hypergeometric series. It is shown that these recursion relations can be expressed in terms of q-derivatives of the respective q-hypergeometric series.

• 호남수학학술지
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• 제44권1호
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• pp.26-35
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• 2022

In this paper we introduce two type of representations of the Pascal matrix via induced transformations of some q-derivatives as well as their some combinatorial applications.