• Title/Summary/Keyword: Sub-Function

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THE POLYANALYTIC SUB-FOCK REPRODUCING KERNELS WITH CERTAIN POSITIVE INTEGER POWERS

  • Kim, Hyeseon
    • Honam Mathematical Journal
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    • v.44 no.3
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    • pp.447-460
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    • 2022
  • We consider a closed subspace ${\tilde{A}}^{{\alpha},m}_q$ (ℂ) of the Fock space Aα,mq (ℂ) of q-analytic functions with the weight ϕ(z) = -α log |z|2+|z|2m for any positive integer m. We obtain the corresponding reproducing kernel Kα,q,m(z, w) using the weighted Laguerre polynomials and the Mittag-Leffler functions. Finally, we investigate the necessary and sufficient condition on (α, q, m) such that Kα,q,m(z, w) is zero-free.

THE Mα-INTEGRAL

  • Park, Jae Myung;Ryu, Hyung Won;Lee, Hoe Kyoung
    • Journal of the Chungcheong Mathematical Society
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    • v.23 no.1
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    • pp.99-108
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    • 2010
  • In this paper, we define the $M_{\alpha}$-integral and investigate properties of the $M_{\alpha}$-integral.

SEVERAL PROPERTIES OF THE SUBCLASS OF Gk DESCRIBED BY SUBORDINATION

  • PARK, YOUNG OK
    • Honam Mathematical Journal
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    • v.21 no.1
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    • pp.139-147
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    • 1999
  • In this paper we generalize the definition of strongly close-to-convex functions by using the functions g(z) of bounded boundary rotation and investigate the distortion and rotation theorem, coefficient inequalities, invariance property and inclusion relation for the new class $G_{k}[A,\;B]$.

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ON DENJOY*-STIELTJES INTEGRAL

  • Oh, Mee Na;Park, Chun-Kee
    • Korean Journal of Mathematics
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    • v.16 no.4
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    • pp.499-509
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    • 2008
  • In this paper we introduce the concepts of the generalized bounded variation in the restricted sense with respect to a strictly increasing function and $Denjoy_*$-Stieltjes integral of real-valued functions and investigate their properties.

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Dielectric and Piezoelectric Properties of Environmantal Friendly(Li0.04(Na0.56K0.44)0.96(Nb0.9Ta0.10)0.998Zn0.005O3 Ceramics for Energy Harvesting Devices (에너지수확소자용 친환경 (Li0.04(Na0.56K0.44)0.96(Nb0.9Ta0.10)0.998Zn0.005O3 세라믹스의 유전 및 압전 특성)

  • Sin, Sang-Hoon;Yoo, Ju-Hyun
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.26 no.5
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    • pp.355-359
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    • 2013
  • In this paper, the $0.995(Li_{0.04}(Na_{0.56}K_{0.44})_{0.96}(Nb_{0.90}Ta_{0.10})_{0.998}Zn_{0.005}O_3+0.005KNbO_3+xwt%\;TeO_2$ lead-free piezoelectric ceramics for energy harvesting devices were fabricated by the conventional mixed oxide method. The microstructure, dielectric, and piezoelectric properties were investigated as a function of the $TeO_2$ addition. All the specimens showed an orthorhombic phase structure. At the composition ceramics doped with 0.1 wt%$TeO_2$, the optimum values of $d_{33}$= 212 pC/N, $d_{33}{\cdot}g_{33}=9.54pm^2/N$, and kp=0.448 were obtained, respectively. The results indicate that the composition ceramics is a promising candidate for energy harvesting devices applications.

Identifications of Optimal Conditions for Photo-Fenton Reaction in Water Treatment (수중 유기물처리를 위한 광펜톤반응의 최적조건 도출)

  • Oh, Tae Hyup;Lee, Hanuk;Park, Sung Jik;Park, Jae-Woo
    • Journal of Soil and Groundwater Environment
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    • v.21 no.1
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    • pp.86-93
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    • 2016
  • Fenton is the reaction using the OH· radicals generating by interaction between hydrogen peroxide and Fe2+ which can oxidize the contaminants. Fe2+ ions are oxidized to Fe3+ ions by reaction with H2O2 and formed OH· radicals. UV-Fenton process includes the additional reaction that generates the OH· radicals by photodegradation of H2O2. In methylorange (MO) decolourization experiment with UV-Fenton, optimal Fe2+: H2O2 ratio was obtained at 1 : 10. Based on the obtained condition (H2O2= 10mM, Fe2+ = 1 mM) with/without UV-fenton experiment was carried out. Removal efficiency and sludge production were measured at 30 min. The case of w/o UV irradiation and only H2O2 was hardly treated and only Fe2+ showed 65% removal owing to coagulation. When UV-Fenton process in optimal ratio (Fe2+: H2O2 = 1 : 10), UV irradiation showed better removal efficiency than of w/o UV irradiation. Also, MO decolourization was a function of the hydrogen peroxide concentration (x1), Fe2+:H2O2 ratio (x2), and numbers of UV lamp (x3) from the application of the response surface methodology. Statistical results showed the order of significance of the independent variables to be hydrogen peroxide concentration > numbers of UV l amp > Fe2+: H2O2 ratio.

Another Look at Average Formulas of Nevanlinna Counting Functions of Holomorphic Self-maps of the Unit Disk

  • Kim, Hong-Oh
    • Kyungpook Mathematical Journal
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    • v.48 no.1
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    • pp.155-163
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    • 2008
  • This is an extended version of the paper [K] of the author. The average formulas on the circles and disks around arbitrary points of Nevanlinna counting functions of holomorphic self-maps of the unit disk, given in terms of the boundary values of the selfmaps, are shown to give another characterization of the whole class or a special subclass of inner functions in terms of Nevanlinna counting function in addition to the previous applications to Rudin's orthogonal functions.

Dielectric and Piezoelectric Properties of 0.95(Na0.5K0.5)0.04[(Nb0.8Ta0.20)0.994Co0.015]O3-0.05KNbO3 Ceramics as a Function of Calcination Temperature (하소온도 변화에 따른 0.95(Na0.5K0.5)0.04[(Nb0.8Ta0.20)0.994Co0.015]O3-0.05KNbO3 세라믹스의 유전 및 압전 특성)

  • Park, Min-Ho;Lee, Kab-Soo;Yoo, Ju-Hyun;Jeong, Woy-Seung
    • Journal of the Korean Institute of Electrical and Electronic Material Engineers
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    • v.26 no.2
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    • pp.104-108
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    • 2013
  • In this paper, the $0.95(Na_{0.5}K_{0.5})_{0.04}[(Nb_{0.8}Ta_{0.20})_{0.994}Co_{0.015}]O_3$(abbreviated as NKNT) + $0.05KNbO_3$ lead-free piezoelectric ceramics were synthesized by the conventional mixed oxide method route with normal sintering. And also, the effects of calcination temperature on the microstructure, dielectric properties, and piezoelectric properties were investigated. A polymorphic phase transition(PPT) between orthorhombic and tetragonal phases was observed in specimens calcined at $810^{\circ}C{\sim}850^{\circ}C$. The ceramics calcined at $830^{\circ}C$ showed excellent piezoelectric properties: $d_{33}$= 179 pC/N, $k_p$= 0.384, $Q_m$= 79.73). These results indicate that the ceramic is a promising candidate material for lead-free piezoelectric ceramics.

Dielectric and Piezoelectric Properties of Pb(Zr1/2Ti1/2)O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3 System (Pb(Zr1/2Ti1/2O3-Pb(Cu1/3Nb2/3)O3-Pb(Mn1/3Nb2/3)O3계의 유전 및 압전 특성)

  • Lee, Hyeung-Gyu;Kang, Hyung-Won;Choi, Ji-Hyun
    • Journal of the Korean Ceramic Society
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    • v.42 no.10 s.281
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    • pp.698-702
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    • 2005
  • Dielectric and Piezoelectric properties of complex perovskite 0.92Pb($Zr_{1/2}Ti_{1/2})O_{3}-(0.08-x)Pb(Cu_{1/3}Nb_{2/3})O_{3}-xPb(Mn_{1/3}Nb_{2/3})O_{3}(0{\leq}x{\leq}0.080$) (PZT-PCN-PMN) system were investigated as a function of PMN content. With the increase of PMN content of the sintered specimens, tetragonal phase was coexisted with rhombohedral phase, the dielectric constant was decreased, mechanical quality factor ($Q_{m}$) was inceased, and optimal sintering temperature was increased up to 1050$^{\circ}C$. For the composition of x = 0.064 sintered at 1050$^{\circ}C$ for 2 h, 1939 of maximum mechanical quality factor ($Q_{m}$), 57$\%$ of electromechanical coupling factor ($k_{p}$), and 1100$^{\circ}C$ of dielectric constant, 0.37$\% $ of dielectric loss (tan $\delta$) were obtained.