• Title/Summary/Keyword: beta-function

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ON A CLASS OF STRONGLY CLOSE-TO-STAR FUNCTIONS

  • Park, Ok-Young;Lee, Suk-Young
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.755-764
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    • 2000
  • We introduce a new class of functions $H_{\kappa}({\beta})$ which is related to close-to-star functions and we derive a few geometric properties for the class $H_{\kappa}({\beta}),{\;}(2{\leq}k{\kappa}{\leq}4)$.

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A Finsler space with a special metric function

  • Park, Hong-Suh;Lee, Il-Young
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.415-421
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    • 1996
  • In this paper, we shall find the conditions that the Finsler space with a special $(\alpha,\beta)$-metric be a Riemannian space and a Berwald space.

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Sorting Nexin 17 Interacts Directly with Kinesin Superfamily KIF1B${\beta}$ Protein

  • Seog, Dae-Hyun;Han, Jin
    • The Korean Journal of Physiology and Pharmacology
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    • v.12 no.4
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    • pp.199-204
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    • 2008
  • KIF1B${\beta}$ is a member of the Kinesin superfamily proteins (KIFs), which are microtubule-dependent molecular motors that are involved in various intracellular organellar transport processes. KIF1B${\beta}$ is not restricted to neuronal systems, however, is widely expressed in other tissues, even though the function of KIF1B${\beta}$ is still unclear. To elucidate the KIF1B${\beta}$-binding proteins in non-neuronal cells, we used the yeast two-hybrid system, and found a specific interaction of KIF1B${\beta}$ and the sorting nexin (SNX) 17. The C-terminal region of SNX17 is required for the binding with KIF1B${\beta}$. SNX17 protein bound to the specific region of KIF1Bf3 (813-916. aa), but not to other kinesin family members. In addition, this specific interaction was also observed in the Glutathione S-transferase pull-down assay. An antibody to SNX17 specifically co-immunoprecipitated KIF1B${\beta}$ associated with SNX17 from mouse brain extracts. These results suggest that SNX17 might be involved in the KIF1B${\beta}$-mediated transport as a KIF1B${\beta}$ adaptor protein.

Rabbit Liver and Lung Microsomal Metabolism of $\beta$-Nicotyrine:Isozyme Specificities toward the Oxidation of $\beta$-Nicotyrine

  • ;Mark K. Shigenaga
    • Environmental Mutagens and Carcinogens
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    • v.9 no.2
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    • pp.87-96
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    • 1989
  • Studies on the biodisposition of beta-nicotyrine by lung and liver microsomes was examined in order to provide a better understanding of its fate in this tissue. beta-nicotyrine (100$\mu$M) was incubated with microsomes (1 mg/ml) prepared from New Zealand White rabbits. The rate of oxidation observed in lung microsomal incubations was 1.7 nmoles $\beta$-nicotyrine oxidized mg$^{-1}$ min$^{-1}$ compared with 2.7 nmoles $\beta$-nicotyrine oxidized mg$^{-1}$ min$^{-1}$ by the liver microsomal preparation. However, when these rates were expressed as a function of cytochrome P-450 content, the specific activity of the metabolic oxidation catalyzed by lung (8.3 nmoles $\beta$-nicotyrine oxidized nmole cytochrome P-450$^{-1}$ min$^{-1}$) was approxiamtely 4 times greater than liver microsomes (2.3 nmoles $\beta$-nicotyrine oxidized nmole cytochrome P-450$^{-1}$ min$^{-1}$). Isozyme studies on the oxidation of $\beta$-nicotyrine employed several methods of altering activities of specific isozymes present in pulmonary microsomes, including the use of the isozyme 2 and 6 specific inhibitor $\alpa$-methyl ABT, metabolic inhibitor(MI) complex formation. The results of this inhibition study would appear to indicate the $\beta$-nicotyrine is metabolized predominantly by pulmonary isozyme 5.

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Physiological Function in vitro of ${\beta}-Glucan$ Isolated from Barley (보리가루에서 분리한 ${\beta}-Glucan$의 생리적 기능성)

  • Oh, Hee-Jung;Lee, Su-Rae
    • Korean Journal of Food Science and Technology
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    • v.28 no.4
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    • pp.689-695
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    • 1996
  • In order to prove physiological function of ${\beta}-Glucan$ isolated from barley flour by enzymatic method, in vitro experiments simulating the passive membrane transport of gastrointestinal tract were carried out using dialysis membrane. The yield of ${\beta}-Glucan$ from barley flour was $6.2{\%}$ and its constituents were determined to give $81.6{\%}$ total dietary fiber, $72.9{\%}$ soluble dietary fiber, $8.7{\%}$ insoluble dietary fiber, $8.5{\%}$ moisture, $2.5{\%}$ protein and $7.4{\%}$ ash. The water holding capacity of the ${\beta}-Glucan$ preparation was 6 g water/g dry material. The glucose retardation index after 30 minute dialysis was $13.5{\%}$ in the presence of $3{\%}$ ${\beta}-Glucan$. As the dialysis period became longer, the retarding effect toward glucose absorption decreased and the effect was close to zero after 2 hour dialysis. The bile acid retardation index after 30 minute dialysis was 3, 12 and $18{\%}$ in the presence of 1, 3 and $5{\%}$ ${\beta}-Glucan$, respectively. The effect was higher than the glucose retardation index and decreased as the dialysis time elapsed.

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THE LAW OF A STOCHASTIC INTEGRAL WITH TWO INDEPENDENT BIFRACTIONAL BROWNIAN MOTIONS

  • Liu, Junfeng
    • Communications of the Korean Mathematical Society
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    • v.26 no.4
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    • pp.669-684
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    • 2011
  • In this note, we obtain the expression of the characteristic fucntion of the random variable $\int_o^TB_s^{{\alpha},{\beta}}dB_s^{H,K}$, where $B^{{\alpha},{\beta}}$ and $B^{H,K}$ are two independent bifractional Brownian motions with indices ${\alpha}{\in}(0,1),{\beta}{\in}(0, 1]$ and $HK{\in}(\frac{1}{2},\;1)$ respectively.

WEIGHTED COMPOSITION OPERATORS FROM F(p, q, s) INTO LOGARITHMIC BLOCH SPACE

  • Ye, Shanli
    • Journal of the Korean Mathematical Society
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    • v.45 no.4
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    • pp.977-991
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    • 2008
  • We characterize the boundedness and compactness of the weighted composition operator $uC_{\psi}$ from the general function space F(p, q, s) into the logarithmic Bloch space ${\beta}_L$ on the unit disk. Some necessary and sufficient conditions are given for which $uC_{\psi}$ is a bounded or a compact operator from F(p,q,s), $F_0$(p,q,s) into ${\beta}_L$, ${\beta}_L^0$ respectively.

ON APPROXIMATION PROPERTIES OF BALAZS-SZABADOS OPERATORS AND THEIR KANTOROVICH EXTENSION

  • Agratini, Octavian
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.531-542
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    • 2002
  • In this paper we deal with a sequence of positive linear operators ${{R_n}}^{[$\beta$]}$ approximating functions on the unbounded interval [0, $\infty$] which were firstly used by K. balazs and J. Szabados. We give pointwise estimates in the framework of polynomial weighted function spaces. Also we establish a Voronovskaja type theorem in the same weighted spaces for ${{K_n}}^{[$\beta$]}$ operators, representing the integral generalization in Kantorovich sense of the ${{R_n}}^{[$\beta$]}$.

ON A SUBCLASS OF PRESTALIKE FUNCTIONS WITH NEGATIVE COEFFICIENTS

  • Lee, S.K.;Joshi, S.B.
    • Korean Journal of Mathematics
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    • v.8 no.2
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    • pp.127-134
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    • 2000
  • Motivated by recent work of Uralegaddi and Sarangi[12], we aim at presenting here system study of novel subclass $R_{\alpha}[{\mu},{\beta},{\xi}]$ of prestarlike functions. Further using operators of fractional calculus, we have obtained distortion theorem for $R_{\alpha}[{\mu},{\beta},{\xi}]$. Lastly the extreme points of $R_{\alpha}[{\mu},{\beta},{\xi}]$ are obtained.

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