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INCLUSION PROPERTIES OF A CLASS OF FUNCTIONS INVOLVING THE DZIOK-SRIVASTAVA OPERATOR

  • Devi, Satwanti;Srivastava, H.M.;Swaminathan, A.
    • Korean Journal of Mathematics
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    • v.24 no.2
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    • pp.139-168
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    • 2016
  • In this work, we rst introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions f(z) in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions f'(z) and $f^{\prime}_m(z)$ are determined by using the coecient estimates.

INCLUSION PROPERTIES REGARDING CLASSES OF MEROMORPHIC P-VALENT FUNCTIONS, INVOLVING THE OPERATOR Jnp,λ

  • Dicu, Petrica;Totoi, Alina
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.971-977
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    • 2017
  • For $p{\in}{\mathbb{N}}^{\ast}$ let ${\Sigma}_{p,0}$ denote the class of meromorphic functions of the form $g(z) ={\frac{1}{z^p}}+a_0+a_1z+{\cdots}$, $z{\in}U$. In the present paper we introduce a new subclass of the class ${\Sigma}_{p,0}$, using the subordination and the operator $J^n_{p,{\lambda}}$. This class will be denoted by $B^n_{p,{\lambda}}({\alpha},h)$ and we study some inclusion properties of this subclass.

p-EQUIVARIANT SPINC-STRUCTURES

  • Cho, Yong-Seung;Hong, Yoon-Hi
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.1
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    • pp.17-28
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    • 2003
  • Let X be a closed, oriented, Riemannian 4-manifold with ${{b_2}^+}(x)\;>\;1$ and of simple type. Suppose that ${\sigma}\;:\;X\;{\rightarrow}\;X$ is an involution preserving orientation with an oriented, connected, compact 2-dimensional submanifold $\Sigma$ as a fixed point set with ${\Sigma\cdot\Sigma}\;{\geq}\;0\;and\;[\Sigma]\;{\neq}\;0\;{\in}\;H_2(X;\mathbb{Z})$. We show that if _X(\Sigma)\;+\;{\Sigma\cdots\Sigma}\;{\neq}\;0$ then the $Spin^{C}$ bundle $\={P}$ is not $\mathbb{Z}_2-equivariant$, where det $\={P}\;=\;L$ is a basic class with $c_1(L)[\Sigma]\;=\;0$.

Svstematic Study on the Genus Zacco (Pisces, Cyprinidae) 1. Genic Variation (피라미속(잉어목, 잉어과) 어류의 계통분류학적 연구 1. 유전적 변이)

  • 민미숙;양서영
    • The Korean Journal of Zoology
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    • v.34 no.4
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    • pp.557-570
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    • 1991
  • 일차 담수어류의 잉어과(Cyprinidae)에 속하는 Zacco속 어류 4종과 이와 근인관계가 가까운 Candid유속 어류 1종에 대한 유전적 변이를 조사하기 위하여, 한국, 일본 및 대만에서 채집된 개체를 대상으로 전기영동을 실시하여 24-28개의 유전자를 검출 분석하였다. 각 종의 유전적 변이 정도를 조사한 결과 Zaccoplotypus는 전 집단 평균 h: 1.22, p= 17. 52%, HD = 0.053 및 HD= 0.056으로서 조사한 전종중에서일근 변이가 가장 높았다. Z. pachycepholus의 유전적 변이 정도는 A= 1.17, p= 14.8%, HD: 0.026, HG=0.027로서 Z. ploDpus보다 변이 정도가 낮았고, Z. temminck와 Candidia barbata는 각기 A= 1.07, p =7.95%, HD = 0.011, HG = 0.013 및 A= 1.05, P= 3.7%, Hd: 0.013, HG = 0.011로서 변이 정도가 가장 낮았다. Z. Platypus의 경우 한국집단이 변이가 가장 높았으며 대만집단이 가장 낮았다. Zacco속과 Candid지속 어류의 평균 유전적 변이정도는 타어류의 유전적 변이보다 낮았으며 이는 한국산 담수어류중 잉어과 어류의 일반적인 특징이라 사료된다.

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Broad Wings around Hα and Hβ in the S-type Symbiotic Stars

  • Chang, Seok-Jun;Lee, Hee-Won;Lee, Ho-Gyu
    • The Bulletin of The Korean Astronomical Society
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    • v.42 no.2
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    • pp.86.4-87
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    • 2017
  • Symbiotic stars are binary systems composed of a hot white dwarf and a mass losing giant. Many symbiotic stars are known to exhibit broad wings around Balmer emission line. We show high resolution spectra of S-type symbiotic stars, Z Andromedae and AG Draconis, obtained with the ESPaDOnS and the 3.6 m Canada-France-Hawaii Telescope, in which we find prominent broad wings around Balmer lines. We adopt Monte-Carlo technique to consider two types of wing formation mechanisms, which are Thomson scattering by free electron in H II region and Raman scattering by atomic hydrogen in H I region. We find that Thomson wings of $H{\alpha}$ and $H{\beta}$ have the same widths in the Doppler space due to the cross section independent of wavelength. In contrast, Raman $H{\alpha}$ wings are 3 times broader widths than $H{\beta}$ counterparts, which is attributed to the different cross sections and branching ratios. Our CFHT data show that $H{\alpha}$ wings of Z Andromedae and AG Draconis are broader than $H{\beta}$ wings, lending strong support to the Raman scattering origin of Balmer wings in these objects.

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Preparation, Structure, and Property of Re(Nar)$(PR_3)_2Cl_3$, $(PR_3 = PMe_3, PEt_3, P(Ome)_3;Ar = C_6H_5, 2,6-i-Pr_2-C_6H_3)$

  • 박병규;최남선;이순우
    • Bulletin of the Korean Chemical Society
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    • v.20 no.3
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    • pp.314-320
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    • 1999
  • Several bisphosphine- and bisphosphite-substituted Re-imido complexes have been prepared from Re(NPh)(PPh3)2Cl3, 1, and Re(N-C6H3-i-Pr2)2Cl3(py), 4. Compound 1 reacted with trimethyl phosphate (P(OMe)3) to give a mixture of two isomers,mer,trans-Re(NPh)(P(OMe)3)2Cl3, 2, and fac,cis-Re(NPh)(P(OMe)3)2Cl3, 2a. In this reaction, the mer,trans-isomer is a major product. Complex 1 also reacted with triethylphosphine (PEt3) to exclusively give mertrans-Re(NPh)(PEt3)2Cl3, 3. Compound 4 reacted with trimethylphosphine (PMe3) to give mer,trans-Re(N-C6H3-i-Pr2)(PMe3)2Cl3, 5, which was converted to mer-Re(N-C6H3-i-Pr2)(PMe)(OPMe3)Cl3, 6, on exposure to air. Crystallographic data for 2: monoclinic space group P21/n, a = 8.870(2) Å, b = 14.393(3) Å, c = 17.114(4) Å, β = 101.43(2)°, Z = 4, R(wR2) = 0.0521(0.1293). Crystallographic data for 5: orthorhombic space group P212121, a = 11.307(l) Å, b = 11.802(l) Å, c = 19.193(2) Å, Z = 4, R(wR2) = 0.0250(0.0593). Crystallographic data for 6: orthorhombic space group P212121, a = 14.036(4) Å, b = 16.486(5) Å, c = 11.397(3) Å, Z = 4, R(wR2) = 0.0261(0.0630).

Mechanical Properties of $\beta$-Sialon Ceramics Prepared from Wando Pyrophyllite and an Alkoxide (완도납석과 알콕사이드로부터 제조된 $\beta$-Sialon 세라믹스의 기계적 성질)

  • 이홍림;손연하;임헌진
    • Journal of the Korean Ceramic Society
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    • v.28 no.5
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    • pp.390-398
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    • 1991
  • $\beta$-Sialon powder was prepared from Wando pyrophyllite by the carbothermic reduction and nitridation at 135$0^{\circ}C$ for 10 h nitrogen atmosphere. Amorphous silica prepared from Si(OC2H5)4 was added to Wando pyrophyllite powder in order to control the final Z value. Two different methods were applied for synthesis of $\beta$-sialon powders. In Process A, the amorphous silica prepared from Si(OC2H5)4 was admixed to Wando pyrophyllite powder. Process B was started from the mixture of Wando Y2O3 was added to the synthesized $\beta$-Sialon powders as a sintering aid, and the mixed powders were hot pressed at 175$0^{\circ}C$ for 120 min in nitrogen atmosphere under 30 MPa. Their mechanical properties were compared. The maximum values of M.O.R., hardness and KIC were 667 MPa, 16 GPa and 6.3 MN/m3/2, respectively, and they are the values obtained form $\beta$-Sialon ceramics prepared by process A of Z=0.5.

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Power control of Photovoltaic Generator System Using Quasi Z-Source Inverter (QZSI를 사용한 태양광 발전시스템의 전력제어)

  • Kim, J.Y.;Chun, T.W.;Lee, H.H.;Kim, H.G.;Nho, E.C.
    • Proceedings of the KIPE Conference
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    • 2010.11a
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    • pp.246-247
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    • 2010
  • This paper proposed a method for controlling the active power of a single-phase grid-connected photovoltaic(PV) system by the quasi-Z-source inverter (QZSI). The MPPT of PV array is achieved by adjusting a shoot-through time of QZSI. The PI+R controller is used for reducing the steady-state error of the grid current. The simulation studies are carried out to verify the performances of proposed system.

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A Three-Dimensional Zinc-Phosphate Coordination Polymer: Hydrothermal Synthesis and Structure of $Zn_3(PO_4)_2(H_2O)$ (3차원 Zinc-Phosphate 배위 고분자: $Zn_3(PO_4)_2(H_2O)$의 수열합성 및 구조)

  • Dongwon Min;Ji-Young Back;Hyun Sue Hoe;Soon Won Lee
    • Korean Journal of Crystallography
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    • v.12 no.3
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    • pp.145-149
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    • 2001
  • The hydrothermal reaction between zinc(II) nitrate Zn₃(PO₄)₂(H₂O) and potassium phosphate dibasic (K₂HPO₄) in the presence of pyrazine gave a three-dimensional zinc-phosphate coordination polymer with an empirical formula of Zn₃(PO₄)₂(H₂O) (1). Compound 1 was characterized by IR spectroscopy, and X-ray diffraction. Crystallographic data for 1: monoclinic space group. P2₁/c, a=8.970(1)Å, b=4.901(1)Å, c=16.759(3)Å, β=94.98(2)°, Z=4, R(wR₂)=0.0332(0.0927).

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