• 충청수학회지
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• 제31권4호
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• pp.429-460
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• 2018

Let us consider that ${\mathbb{K}}$ be a complete ultrametric algebraically closed field and ${\mathcal{A}}({\mathbb{K}})$ be the ${\mathbb{K}}-algebra$ of entire functions on ${\mathbb{K}}$. In this paper we introduce the notions of (p, q)-th relative order and (p, q)-th relative type of p adic entire functions where p and q are any two positive integers and then study some growth properties of composite p adic entire functions in the light of their (p, q)-th relative order and (p, q)-th relative type. After that we show that (p, q) th relative order and (p, q)-th relative type are remain unchanged for derivatives under some certain conditions.

• 대한수학회보
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• 제53권2호
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• pp.411-421
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• 2016

In this paper, we investigate the problem of transcendental entire functions that share two values with one of their derivative. Let f be a transcendental entire function, n and k be two positive integers. If $f^n-Q_1$ and $(f^n)^{(k)}-Q_2$ share 0 CM, and $n{\geq}k+1$, then $(f^n)^{(k)}{\equiv}{\frac{Q_2}{Q_1}}f^n$. Furthermore, if $Q_1=Q_2$, then $f=ce^{\frac{\lambda}{n}z}$, where $Q_1$, $Q_2$ are polynomials with $Q_1Q_2{\not\equiv}0$, and c, ${\lambda}$ are non-zero constants such that ${\lambda}^k=1$. This result shows that the Conjecture given by W. $L{\ddot{u}}$, Q. Li and C. Yang [On the transcendental entire solutions of a class of differential equations, Bull. Korean Math. Soc. 51 (2014), no. 5, 1281-1289.] is true. Also we exhibit some examples to show that the conditions of our result are the best possible.

• 대한수학회논문집
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• 제33권1호
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• pp.179-196
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• 2018

In this paper we extend the two q-additions with powers in the umbrae, define a q-multinomial-coefficient, which implies a vector version of the q-binomial theorem, and an arbitrary complex power of a JHC power series is shown to be equivalent to a special case of the first q-Lauricella function. We then present several q-analogues of hypergeometric integral formulas from the two books by Exton and the paper by Choi and Rathie. We also find multiple q-analogues of hypergeometric integral formulas from the recent paper by Kim. Finally, we prove several multiple q-hypergeometric integral formulas emanating from a paper by Koschmieder, which are special cases of more general formulas by Exton.

• 대한수학회지
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• 제58권1호
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• pp.133-147
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• 2021

Our aim in this paper is to derive several new monotonicity properties and functional inequalities of some functions involving the q-gamma, q-digamma and q-polygamma functions. More precisely, some classes of functions involving the q-gamma function are proved to be logarithmically completely monotonic and a class of functions involving the q-digamma function is showed to be completely monotonic. As applications of these, we offer upper and lower bounds for this special functions and new sharp upper and lower bounds for the q-analogue harmonic number harmonic are derived. Moreover, a number of two-sided exponential bounding inequalities are given for the q-digamma function and two-sided exponential bounding inequalities are then obtained for the q-tetragamma function.

• Korean Journal of Mathematics
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• 제30권3호
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• pp.443-458
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• 2022

In this paper, we apply the concept of intuitionistic Q-fuzzy set to PMS-algebras. We study the concept of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras and investigate some related properties of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras. We provide the relationship between an intuitionistic Q-fuzzy PMS-subalgebra and an intuitionistic Q-fuzzy PMS-ideal of a PMS-algebra. We establish a condition for an intuitionistic Q-fuzzy set in a PMS-algebra to be an intuitionistic Q-fuzzy PMS-ideal of a PMS-algebra. Characterizations of intuitionistic Q-fuzzy PMS-ideals of PMS-algebras in terms of their level sets are given.

• 충청수학회지
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• 제32권4호
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• pp.475-490
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• 2019

Let C^(q) be the q-commuting arithmetic table of (x + y)ⁿ with noncommuting variables. We study sequential properties of diagonal sums of C^(q) with various q > 0. One of our results shows that each diagonal sum plays like Fibonacci number with some minor conditions.

• Journal of applied mathematics & informatics
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• 제40권1_2호
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• pp.233-242
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• 2022

The purpose of this paper is to find some properties and identities for (p, q)-cosine Genocchi polynomials. This polynomials which is one of Appell polynomials, have multifarious relations of (p, q)-other polynomials.

• 공업화학
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• 제7권2호
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• pp.379-386
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• 1996

광 이량화 특성을 나타내는 1-methyl-4-[2-(4-diethylacetylphenyl)ethenyl] pridinium methosulfate(SbQ-A염)를 dimethyl sulfate, terephthalaldehyde mono-(diethyl acetal) 및 4-picoline을 이용하여 합성하였다. 합성된 SbQ-A염을 PVA와 반응시켜 동일(MW=77,000-79,000g/mol) 분자량을 가진 PVA내 SbQ의 함량이 다른 PVA-SbQ-H 시료 및 SbQ의 함량은 약 1.3mol%로 같으나 PVA의 분자량이 다른 PVA-SbQ-L들을 합성하였다. Gray scale(GS)법을 이용하여 측정된 PVA-SbQ 수용성 감광성 고분자의 상대감도는 PVA내 SbQ의 함량이 증가함에 따라 증가하였으며, PVA의 분자량이 낮아질수록 감소하였다. PVA-SbQ-H의 경우 SbQ 함량이 2.63mol%인 시료는 PVA에 ammonium dichromate가 혼합된 기존시료보다 90배 증가된 감도를 나타내었다. PVA-SbQ를 사용하여 형광체 슬러리를 제조하고 사진식각공정을 거쳐 형광체의 미세패턴을 형성하였다. 형광체 슬러리 제조시 양이온 계면활성제인 cetyltrimethyl ammonium chloride를 첨가제로 사용하면 형광면의 해상도가 증가됨을 알았다.

• 환경생물
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• 제27권2호
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• pp.191-197
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• 2009

신갈나무의 생태적 특성을 밝히기 위하여 유식물의 주요 환경요인 중 광, 수분과 영양소를 각각 4구배로 처리하고, 2007년 3월~10월까지 양묘하여 17가지의 형태 및 생태형질을 측정하여 생태적 지위폭을 계산하였다. 그리고 이 지위폭과 상수리나무와 굴참나무와의 생태적 중복역을 비교분석하여 3종의 분포적 특성과 경쟁관계를 생태적으로 해석하고자 하였다. 신갈나무의 생태적 지위폭은 환경요인 중 영양소구배에서 가장 낮았고, 수분구배에서 가장 높게 나타났다. 광구배에서는 그 중간이었다. 신갈나무는 광환경에 대해서만 상수리나무나 굴참나무보다 생태적 지위폭이 큼으로써 이는 3종의 참나무가 경쟁시 광환경에서는 신갈나무가 우월하며, 또한 한반도에서 신갈나무가 우점하는 원인 중의 하나가 광환경에 대한 높은 적응력일 수 있음을 의미하는 것이다. 신갈나무-상수리나무와 신갈나무-굴참나무의 생태적 중복역은 수분구배에서 가장 넓었고, 영양소구배에서 가장 좁게 나타났다. 광구배에서는 그 중간이었다. 이는 참나무 3종이 영양소환경이나 광환경에 대해서는 서로 간 생태적 분화가 수분 환경보다 상대적으로 많이 일어났음을 뜻한다. 유집분석과 주성분분석을 이용한 참나무 3종의 환경구배에 대한 반응에서는 신갈나무-상수리나무 간의 공간적 위치는 신갈나무-굴참나무 간의 위치보다 서로 가깝게 배열되어 나타났다. 이상의 결과는 신갈나무와 상수리나무는 생태적 지위가 유사하여 환경요인, 특히 수분환경에 대한 경쟁이 신갈나무와 굴참나무에 비해 더 심하게 일어남을 의미한다.

• 한국자원식물학회지
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• 제22권3호
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• pp.266-272
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• 2009

Morphological characteristics of leaves, trichomes and acorns were investigated in 6-year-old artificial hybrids of Q. aliena ${\times}$ Q. mongolica var. crispula and Q. serrata ${\times}$ Q. mongolica var. crispula. Leaf shapes of Q. aliena ${\times}$ Q. mongolica var. crispula $F_{1}$ were obovate and resembled to that of Q. aliena. But several characters including the size of leaf and petiole and the shape of leaf base resembled to those of Q. mongolica var. crispula. In F1 hybrids, small stellate hairs distributed sparsely on the abaxial surface and their lay length was intermediate between both parents. There were no big differences on characters of nuts and cupules between both parents and $F_{1}$ hybrids. Leaf shapes of Q. serrata ${\times}$ Q. mongolica var. crispula $F_{1}$ were obovate-elliptic, and the leaf shape and leaf base and the length of petiole resembled to those of Q. mongolica var. crispula, but leaf size and serration resembled to those of Q. serrata. The number of serration in a leaf was intermediate between both parents. Small stellate hairs distributed sparsely and large single hairs were mixed on the reverse side of leaves. there were no big differences on the number and size of stellate hairs between $F_{1}$ hybrid and Q. serrata. It is able to distinguish $F_{1}$ hybrids from both parents by the size leaf size and shapes, leaf base and serration, petiole length and trichome type in the leaf.