• Korean Journal of Mathematics
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• 제30권3호
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• pp.433-442
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• 2022

Let N^(q) be an arithmetic table of a negative exponent polynomial with q-commuting variables. We study sequential properties of diagonal sums of N^(q). We first device a q-coefficient table $\hat{N}$ of N^(q), find sequences of diagonal sums over $\hat{N}$, and then retrieve the findings of $\hat{N}$ to N^(q). We also explore recurrence rules of s-slope diagonal sums of N^(q) with various s and q.

• 호남수학학술지
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• 제40권4호
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• pp.681-689
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• 2018

In this paper, we defined new subclasses of Spirallike and Robertson functions by using concept of q-derivative operator. We investigate convolution properties and coefficient estimates for both classes q-Spirallike and q-Robertson functions denoted by ${\mathcal{S}}^{\lambda}_q[A,\;B]$ and ${\mathcal{C}}^{\lambda}_q[A,\;B]$, respectively.

• 대한수학회논문집
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• 제38권4호
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• pp.1111-1126
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• 2023

In this paper, we define a new subclass of k-uniformly starlike functions of order γ (0 ≤ γ < 1) by using certain generalized q-integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate q-sufficient coefficient condition, q-Fekete-Szegö inequalities, q-Bieberbach-De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of k-uniformly convex functions of order γ by using the generalized q-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class.

• 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.

• East Asian mathematical journal
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• 제39권3호
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• pp.279-290
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• 2023

We study divisibilities of elements in the q-commuting matrix C^(q). We first make a coefficient matrix Ĉ of C^(q) which is independent of q, study divisibilities over Ĉ and then retrieve our findings to C^(q). Finally we partition the C^(q) into 2 × 2 block matrices.

• 대한기계학회논문집B
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• 제23권11호
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• pp.1390-1398
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• 1999

A numerical analysis for ROT sparger of PWR(Pressurized Water Reactor) is carried out. Computation is performed to investigate the flow characteristics as the change of design factor. As the result of this study, RDT sparger's flow resistance coefficient is K=3.53 at the present design condition if engineering mar&in is considered with 20%, and flow ratio into branch pipe is $Q_s/Q_i=0.41$. Velocity distribution at exit is not uniform because of separation in branch pipe. In the change of inlet flow rate and section area ratio of branch pipe for main pipe, flow resistance coefficient is increased as $Q_s/Q_i$ decreasing, but in the change of branch angle and outlet nozzle diameter of main pipe, flow resistance coefficient is decreased as $Q_s/Q_i$ decreasing. As the change rate of $Q_s/Q_i$ is the larger, the change rate of flow resistance coefficient is the larger. The change rate of pressure loss is the largest change as section area ratio changing. The optimal design condition of sparger is estimated as the outlet nozzle diameter ratio of main pipe is $D_s/D_i=0.333$, the section area ratio is $A_s/A_i=0.2$ and the branch angle is ${\alpha}=55^{\circ}$.

• 대한수학회논문집
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• 제37권3호
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• pp.723-734
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• 2022

In this work, we introduce a new subclass of analytic functions of complex order involving the (p, q)-derivative operator defined in the open unit disc. For this class, several Fekete-Szegö type coefficient inequalities are derived. We obtain the results of Srivastava et al. [22] as consequences of the main theorem in this study.

• Journal of applied mathematics & informatics
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• 제39권5_6호
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• pp.643-654
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• 2021

In this paper, we define a modified q-poly-Bernoulli polynomials of the first type and modified q-poly-tangent polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

• Journal of Applied and Pure Mathematics
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• 제6권1_2호
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• pp.1-11
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• 2024

In this paper, we define a new fully modified q-poly-Euler numbers and polynomials of the first type by using q-polylogarithm function. We derive some identities of the modified polynomials with Gaussian binomial coefficients. We also explore several relations that are connected with the q-analogue of Stirling numbers of the second kind.

• 한국작물학회지
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• 제33권4호
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• pp.343-349
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• 1988

보리 극조숙 품종을 육성하기 위하여 육종재료들에 대한 감온성 및 저온생육성을 검정하였다. 국내외 품종 및 계통을 공시하여 파종을 소거한 후 온실의 고온, 저온조건 및 포장에서 시험을 실시한 결과는 다음과 같다. 1. 온도처리에 따른 초장의 온도계수(Q$_{10}$), 생육비율, 감온성정도는 품종간 변이가 컸다. 조숙성 품종은 Q$_{10}$ 치가 커서 온도변화에 둔감한 생육반응을 보였다. 2. 온도변화에 대한 지엽전개기의 온도계수(Q$_{10}$), 감온성정도 역시 품종간 변이가 컸으나 감온성정도의 변이계수가 더 크므로 품종간 차이를 조사하기 위해선 이 형질의 이용이 더 효과적으로 보여진다. 3. 지엽전개기에 대한 Q$_{10}$ 및 감온성정도는 초장에 대한 Q$_{10}$, 감온성정도와 상관이 인정되지 않았다. 4. 출수에서 개화까지의 기간은 고온에서 2~4일로 짧았으나 저온구에서 는 1~11일로 그 변이가 매우 크게 나타났다. 5. 고온에서의 출수기와 저온에서의 출수기, 포장출수기, 성숙기와는 정의 상관을 나타냈고 저온에서의 개화기는 고온에서 출수기, 포장출수기, 성숙기와는 상관을 나타냈다. 6. 대체로 저온과 고온구간에 출수기의 차이가 큰 품종은 수원218호. SB76588, 5월보리. 조강보리 등으로 감온성이 민감하고 조숙성 품종군에 속하였다.품종군에 속하였다.