• Title/Summary/Keyword: ${\alpha}_{s1}-$

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A reducible case of double hypergeometric series involving the riemann $zeta$-function

  • Park, Junesang;H. M. Srivastava
    • Bulletin of the Korean Mathematical Society
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    • v.33 no.1
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    • pp.107-110
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    • 1996
  • Usng the Pochhammer symbol $(\lambda)_n$ given by $$ (1.1) (\lambda)_n = {1, if n = 0 {\lambda(\lambda + 1) \cdots (\lambda + n - 1), if n \in N = {1, 2, 3, \ldots}, $$ we define a general double hypergeometric series by [3, pp.27] $$ (1.2) F_{q:s;\upsilon}^{p:r;u} [\alpha_1, \ldots, \alpha_p : \gamma_1, \ldots, \gamma_r; \lambda_1, \ldots, \lambda_u;_{x,y}][\beta_1, \ldots, \beta_q : \delta_1, \ldots, \delta_s; \mu_1, \ldots, \mu_v; ] = \sum_{l,m = 0}^{\infty} \frac {\prod_{j=1}^{q} (\beta_j)_{l+m} \prod_{j=1}^{s} (\delta_j)_l \prod_{j=1}^{v} (\mu_j)_m)}{\prod_{j=1}^{p} (\alpha_j)_{l+m} \prod_{j=1}^{r} (\gamma_j)_l \prod_{j=1}^{u} (\lambda_j)_m} \frac{l!}{x^l} \frac{m!}{y^m} $$ provided that the double series converges.

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A Selective Synthesis of Isoxazolo[2,3-${\alpha}$]quinoxalines and Pyrrolo[1,2-${\alpha}$]quinoxalines by 1,3-Dipolar Cycloaddition Reaction (1,3-쌍극성 고리화 첨가반응에 의한 Isoxazolo[2,3-${\alpha}$]quinoxaline류와 Pyrrolo[1,2-${\alpha}$]quinoxaline류의 선택적인 합성)

  • Kim Ho Sik;Nam Soon Hwa;Kurasawa Yoshihisa
    • Journal of the Korean Chemical Society
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    • v.34 no.5
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    • pp.469-475
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    • 1990
  • The reaction of 2,6-dichloroquinoxaline (13) with m-chloroperbenzoic acid gave 2,6-dichloroquinoxaline 4-oxide (14), whose reaction with pyrrolidine or indoline provided 2-substituted 6-chloroquinoxaline 4-oxides (15). The isoxazolo[2,3-a]quinoxalines (16) and pyrrolo[1,2-a]quinoxalines (17) were selectively synthesized from the 2-substituted 6-chloroquinoxaline 4-oxides (15) and dimethyl acetylenedicarboxylate. Moreover, the pyrrolo[1,2-a]quinoxalines (17) were found to be produced by the ring transformation of the isoxazolo[2,3-a]quinoxalines (16).

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Analysis of the Organochlorine Pesticides in the Water and Soil (물 및 토양 중 유기염소계 농약의 분석)

  • 김정호
    • Journal of Environmental Science International
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    • v.12 no.12
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    • pp.1315-1320
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    • 2003
  • To obtain the residual organochlorine pesticides in the coastal environment, the methods of analysis for BHC's isomer, Kelthane, Orthocide and Endrin by GC-ECD are surveyed. The relative retention time for ${\alpha}$-BHC, ${\beta}$-BHC, (equation omitted)-BHC and $\delta$-BHC is 1.00, 1.18, 1.24, 1.31 and it's of Kelthane, Orthocide, Endrin is 1.56, 1.70, and 2.02, respectively. The BHC isomers Kelthane, Orthocide and Endrin are separated on the base line. The plate height(H) for ${\alpha}$-BHC, ${\beta}$-BHC, (equction omitted)-BHC and $\delta$-BHC is 50mm, 35mm, 32mm and 29mm, and it's of Kelthane, Orthocide, Endrin is 81mm, 68mm and 48mm, respectively. The qualified defection concentration for ${\alpha}$-BHC, ${\beta}$-BHC, (equation omitted)-BHC and $\delta$-BHC is 0.26, 0.36, 0.37 and 0.39ng/g and it's of Kelthane, Orthocide, Endrin is 0.55, 1.39 and 0.56ng/g, respectively, BHC's isomer, Kelthane, Orthocide and Endrin are not detected in soil environment on South Cheju Island. Also residual organochlorine pesticides are not detected in the sea water and sediment in the ocean environment.

Age-Dependent Progesterone Metabolism in the Rat Brain (쥐 뇌의 progesterone대사에 미치는 연령의 효과)

  • Han, Beom-Ku;Park, In-Ho;Jo, Do-Hyun
    • Applied Biological Chemistry
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    • v.38 no.1
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    • pp.37-41
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    • 1995
  • The effect of age on the metabolism of progesterone was studied in the rat brain. Metabolic activity was more active in minced tissues than total homogenates. The activity of progesterone $5{\alpha}-reductase(s)$ was increased during postnatal periods(between 5 and 14 days after birth) and thereafter steadily decreased up to the one-fourth level of the fetus. When $5{\alpha}-dihydroprogesterone$ was incubated with brain tissues of various ages, the change in the activity of $3{\alpha}-hydroxysteroid$ oxidoreductase$(3{\alpha}-HSOR)$ was similar to that of $5{\alpha}-reductase(s)$. These results suggest that the reduced formation of total $5{\alpha}-reduced$metabolites was due to the decreased activities of $5{\alpha}-reductase(s)$ and $3{\alpha}-HSOR$. However the level of $3{\beta}-HSOR$ remained constant regardless of the age.

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The Effects of Fe and V on the Characteristics of $\beta$to$\alpha$ Transformation for Zr-0.8Sn Alloys (Fe와 V이 Zr-0.8Sn 합금의 $\beta{\rightarrow}\alpha$ 상변태 특성에 미치는 영향)

  • O, Yeong-Min;Kim, Seon-Jin
    • Korean Journal of Materials Research
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    • v.10 no.9
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    • pp.636-641
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    • 2000
  • The effects of Fe and V content on the characteristics of $\beta$ to $\alpha$ phase transformation for Zr-0.8Sn alloys were studied by optical and transmission electron microscopy. With increasing V content, $\beta{\rightarrow}\alpha+\beta$ transformation temperature decreased, thus allowing the width of $\alpha$-lath to be fine air-cooled Zr-0.8Sn-xV alloys. The width of $\alpha$-lath, however, was slightly increased with Fe content. While the $\beta$ to $\alpha$ transformed microstructures of water-quenched Zr-0.8Sn, Zr-0.8Sn-0.1Fe, Zr-0.8Sn-0.2Fe, Zr-0.8Sn-0.4Fe, Zr-0.8Sn-0.1V and Zr-0.8Sn-0.2V were mainly slipped martensite, that of water-quenched Zr-0.8Sn-0.4V was predominantly twinned martensite. The transition of slipped martensite to twinned martensite in Zr-0.8Sn-Xv was thought to be due to the decrease of $M_S$ temperature.

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Expression of Thermostable $\alpha$-Glucosidase from Thermus caldophilus GK24 in Recombinant Saccharomyces cerevisiae

  • Choi, Jae-Youl;Ahn, Jung-Oh;Kim, Sun-Il;Shin, Hyun-Jae
    • Journal of Microbiology and Biotechnology
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    • v.16 no.12
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    • pp.2000-2003
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    • 2006
  • A gene (GenBank AF096282) coding for a $\alpha$-glucosidase (TcaAG, EC 3.2.1.20) from Thermus caldophilus GK24 was expressed in Saccharomyces cerevisiae, a generally recognized as safe (GRAS) host. The thermostable $\alpha$-glucosidase was produced inside of the GRAS host at 0.04 unit/mg-dry cell by the constitutively expressing ADH1 promoter and at 1.2 unit/mg-dry cell by the inductively expressing GALl0 promoter, respectively. No $\alpha$-glucosidase activities were found in the medium when the MF-alpha signal sequence from S. cerevisiae or $\alpha$-amylase signal sequence from Aspergillus oryzae were fused before the $\alpha$-glucosidase gene for the secretion.

Studies on Milk Protein by Zone Electrophoresis (대전기영동법(帶電氣泳動法)에 의한 유청단백질(乳淸蛋白質)에 관(關)한 연구(硏究))

  • Cho, Duk-Bong;Nam, Hyun-Keun
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.5 no.1
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    • pp.25-30
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    • 1976
  • In this investigation, the physico-chemical properties of Korean cattles milk and Holstein cows milk are studied. The results of the milk -protein of F-1, F-2, and F-4 hybrid are interested in this studied. 1. The physico-chemical properties of Korean cattle and Holstein cows milk is summarized at Table 1, Table 2. 2. The electrophoretic milk protein fraction of Korean cattle is identified : Lactoalbumin 1.74mg%. Alpha-1 globulin 1.19mg%, Alpha-2 globulin 0.68mg%, Beta-globulin 2.57mg%, Gamma-globulin 0.93mg%. 3. The electrophoretic milk protein fraction of Holstein cow : Lactoalbumin 1.23mg%, Alpha-1 globulin 0.93mg%, Alpha-2 globulin 0.86mg%, Bata-globulin 2.56mg%, Gamma-globulin 1.74mg% have been identified. 4. The electrophoretic milk protein fraction of hybrid F-1, F-2, and F-4 between Korean cattle(female) and Holstein(male) is obtained the following : F-1 hybrid : Lactoalbumin 1.38mg%, Alpha-1 globulin 1.58mg%, Alpa-2 globulin 2.46mg%, Beta-globulin 1.39mg%. F-2 hybrid : Lactoalbumin 1.57mg%, Alpha-1 globulin 1.74mg%, Alpha-2 globulin 2.19mg%, Beta-globulin 1.74mg%. F-4 hybrid : Lactoalbumin 2.46mg%, Alpha-1 globulin 1. 24mg%, Alpha-2 globulin 1.57㎎%, Beta-globulin 1.74mg%.

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Color lens CIE L*a*b* coordination transfer by tinted time (착색시간에 따른 칼라렌즈 색좌표 이동)

  • Jeong, Byung-Mann;Park, Kwang-Ho;Kim, Yong-Geun
    • Journal of Korean Ophthalmic Optics Society
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    • v.8 no.1
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    • pp.53-57
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    • 2003
  • R, G, Y, B color lenses Manufactured increasing tinted time by 5 min term. CIE $L^*a^*b^*$ coordination's analysis used spectrophotometer and CIE $L^*a^*b^*$ color system. CIE $L^*a^*b^*$ coordination transfer form about tinted time being $$b^*(Y-B)={\beta}a^*+{\alpha}$$ change to do linear almost. In red case, move in $G{\rightarrow}R$, $B{\rightarrow}Y$ form tinted time increases, and Parameter ${\alpha}$, ${\beta}$ value got each -3.49 and 0.90. In green case, CIE $L^*a^*b^*$ coordination transfer form is $R{\rightarrow}G$, $B{\rightarrow}Y$ form. Got the pure green color color in 10 min's tinted time. Parameter ${\alpha}$, ${\beta}$ value got each -0.72 and -0.55. Get into pure yellow and blue color case tinted time increases. Parameter ${\alpha}$, ${\beta}$ value are 14.11 and 1.58 in yellow, and Parameter ${\alpha}$, ${\beta}$ value are -11.62 and 1.30 in blue color.

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Synthesis of $(\pm)-\alpha-Hydroxy-\alpha$-(p-Chlorobiphenyl)Acetic Acid and its Resolution ($(\pm)-\alpha-Hydroxy-\alpha$-(p-Chlorobiphenyl)acetic acid 합성과 분할)

  • 권순경
    • YAKHAK HOEJI
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    • v.39 no.4
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    • pp.433-437
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    • 1995
  • Optically pure(-)-and (+)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acids were prepared. The racemate was synthesized through three steps. By condensation of p-cnorobiphenyl with diethyl ketomalonate in the presence of SnCl$_{4}$, diethyl $\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)malonate (1) was formed and subsequently ($\pm$)-$\alpha$-hydroxy-$\alpha$-(p-chlorobiphenyl)acetic acid (3) was obtained through hydrolysis and decarboxylation. For the separation of the racemate the classical resolution method, derivatization of a racemate by reaction with an optically pure compound was employed. In this case the optically pure compound were [R]-(+)-$\alpha$-methylbenzylamine and [S]-(-)-$\alpha$-methylbenzylamine. Diastereomeric salts between acids and bases could be easily separated by crystallization in absolute ethanol.

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ON A CLASS OF QUANTUM ALPHA-CONVEX FUNCTIONS

  • NOOR, KHALIDA INAYAT;BADAR, RIZWAN S.
    • Journal of applied mathematics & informatics
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    • v.36 no.5_6
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    • pp.567-574
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    • 2018
  • Let $f:f(z)=z+{\sum^{{\infty}}_{n=2}}a_nz^n$ be analytic in the open unit disc E. Then f is said to belong to the class $M_{\alpha}$ of alpha-convex functions, if it satisfies the condition ${\Re}\{(1-{{\alpha})}{\frac{zf^{\prime}(z)}{f(z)}}+{{\alpha}}{\frac{(zf^{\prime}(z))^{\prime})}{f^{\prime}(z)}}\}$ > 0, ($z{\in}E$). In this paper, we introduce and study q-analogue of the class $M_{\alpha}$ by using concepts of Quantum Analysis. It is shown that the functions in this new class $M(q,{\alpha})$ are q-starlike. A problem related to q-Bernardi operator is also investigated.