• 제목/요약/키워드: beta function

검색결과 1,466건 처리시간 0.035초

RADII PROBLEMS OF CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS WITH FIXED SECOND COEFFICIENTS

  • PORWAL, SAURABH;BULUT, SERAP
    • 호남수학학술지
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    • 제37권3호
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    • pp.317-323
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    • 2015
  • The purpose of the present paper is to study certain radii problems for the function $$f(z)=\[{\frac{z^{1-{\gamma}}}{{\gamma}+{\beta}}}\(z^{\gamma}[D^nF(z)]^{\beta}\)^{\prime}\]^{1/{\beta}}$$, where ${\beta}$ is a positive real number, ${\gamma}$ is a complex number such that ${\gamma}+{\beta}{\neq}0$ and the function F(z) varies various subclasses of analytic functions with fixed second coefficients. Relevant connections of the results presented herewith various well-known results are briefly indicated.

Effects of fermented ginseng on memory impairment and β-amyloid reduction in Alzheimer's disease experimental models

  • Kim, Joonki;Kim, Sung Hun;Lee, Deuk-Sik;Lee, Dong-Jin;Kim, Soo-Hyun;Chung, Sungkwon;Yang, Hyun Ok
    • Journal of Ginseng Research
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    • 제37권1호
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    • pp.100-107
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    • 2013
  • This study examined the effect of fermented ginseng (FG) on memory impairment and ${\beta}$-amyloid ($A{\beta}$) reduction in models of Alzheimer's disease (AD) in vitro and in vivo. FG extract was prepared by steaming and fermenting ginseng. In vitro assessment measured soluble $A{\beta}42$ levels in HeLa cells, which stably express the Swedish mutant form of amyloid precursor protein. After 8 h incubation with the FG extract, the level of soluble $A{\beta}42$ was reduced. For behavioral assessments, the passive avoidance test was used for the scopolamine-injected ICR mouse model, and the Morris water maze was used for a transgenic (TG) mouse model, which exhibits impaired memory function and increased $A{\beta}42$ level in the brain. FG extract was treated for 2 wk or 4 mo on ICR and TG mice, respectively. FG extract treatment resulted in a significant recovery of memory function in both animal models. Brain soluble $A{\beta}42$ levels measured from the cerebral cortex of TG mice were significantly reduced by the FG extract treatment. These findings suggest that FG extract can protect the brain from increased levels of $A{\beta}42$ protein, which results in enhanced behavioral memory function, thus, suggesting that FG extract may be an effective preventive or treatment for AD.

Decreased Expression of Phospholipase C-$\beta$2 in Human Platelets with Impaired Function

  • Lee, Sang-Bong;A. Koneti Rao;Lee, Kweon-Haeng;Xu Yang;Bae, Yun-Soo
    • 한국응용약물학회:학술대회논문집
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    • 한국응용약물학회 1996년도 제4회 추계심포지움
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    • pp.75-84
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    • 1996
  • Platelets from a patient with a mild inherited bleeding disorder and abnormal platelet aggregation and secretion show reduced generation of inositol 1,4,5-trisphosphate (IP$_3$), mobilization of intracellular Ca$\^$2+/, and phosphorylation of pleckstrin in response to several G protein mediated agonists, suggesting a possible defect at the level of phospholipase C (PLC) activation. A procedure was developed that allows quantitation of platelet PLC isozymes. After fractionation of platelet extracts by high-performance liquid chromatography, seven, out often known PLC isoforms were detected by immunoblot analysis. The amount of these isoforms in normal platelets decreased in the order PLC-${\gamma}$2 > PLC-${\beta}$2 > PLC-${\beta}$3 > PLC-${\beta}$l > PLC-${\gamma}$ > PLC-$\delta$1 > PLC-${\beta}$4. Compared with normal platelets, platelets from the patient contained approximately one-third the amount of PLC-${\beta}$2, whereas PLC-${\beta}$4 was increased threefold. These results suggest that the impaired platelet function in the patient in response to multiple G protein mediated agonists is attributable to a deficiency of PLC-${\beta}$2. They document for the first time a specific PLC isozyme deficiency in human platelets and provide an unique opportunity to understand the role of different PLC isozymes in normal platelet function.

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Impaired Taste Associative Memory and Memory Enhancement by Feeding Omija in Parkinson's Disease Fly Model

  • Poudel, Seeta;Lee, Youngseok
    • Molecules and Cells
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    • 제41권7호
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    • pp.646-652
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    • 2018
  • Neurodegeneration can result in memory loss in the central nervous system (CNS) and impairment of taste and smell in the peripheral nervous system (PNS). The neurodegeneration seen in Parkinson's disease (PD) is characterized by functional loss of dopaminergic neurons. Recent studies have also found a role for dopaminergic neurons in regulating taste memory rewards in insects. To investigate how taste memories and sugar sensitivity can be affected in PD, we utilized the $DJ-1{\beta}$ mutant fruit fly, $DJ-1{\beta}^{ex54}$, as a PD model. We performed binary choice feeding assays, electrophysiology and taste-mediated memory tests to explore the function of the $DJ-1{\beta}$ gene in terms of sugar sensitivity as well as associative taste memory. We found that PD flies exhibited an impaired ability to discriminate sucrose across a range of sugar concentrations, with normal responses at only very high concentrations of sugar. They also showed an impairment in associative taste memory. We highlight that the taste impairment and memory defect in $DJ-1{\beta}^{ex54}$ can be recovered by the expression of wild-type $DJ-1{\beta}$ gene in the dopaminergic neurons. We also emphasized the role of dopaminergic neurons in restoring taste memory function. This impaired memory property of $DJ-1{\beta}^{ex54}$ flies also allows them to be used as a model system for finding supplementary dietary foods that can improve memory function. Here we provide evidence that the associative taste memory of both control and $DJ-1{\beta}^{ex54}$ flies can be enhanced with dietary supplementation of the medicinal plant, omija.

대한민국 비만 성인에서 대사증후군과 인슐린저항성 및 베타세포기능의 관련성 (Relationship between Metabolic Syndrome, Metabolic Syndrome Score, Insulin Resistance and Beta Cell Function in Korean Adults with Obesity)

  • 윤현
    • 대한임상검사과학회지
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    • 제52권4호
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    • pp.327-334
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    • 2020
  • 본 연구는 대한민국 비만 성인에서 대사증후군과 대사증후군 구성요소의 증가와 인슐린저항성(homeostasis model assessment of insulin resistance, HOMA-IR) 및 베타세포기능(homeostasis model assessment of beta cell function, HOMA-B)의 관련성을 조사하였다. 본 연구는 2010년 국민건강영양조사 자료(2010 Korean National Health and Nutrition Examination Survey, KNHANES V-1)의 20세 이상 성인 1,860명을 대상으로 실시하였다. 본 연구의 주요한 결과는 다음과 같다. 첫째, 대사증후군(P<0.001) 및 대사증후군 구성요소의 증가(P<0.001)는 HOMA-IR의 증가와 관련이 있었다. 둘째, 증가된 혈압군(P<0.001)과 증가된 혈당군(P<0.001)의 HOMA-B는 정상군보다 낮았고, 복부비만군(P=0.003)과 감소된 저밀도 콜레스테롤군(P=0.030)의 HOMA-B는 정상군보다 높았다. 그럼에도 불구하고 대사증후군 및 대사증후군 구성요소의 증가에 따라 HOMA-B은 감소하였다. 결론적으로, 대한민국 비만 성인에서 대사증후군 및 대사증후군 구성요소의 증가에 따라 인슐린저항성은 증가하였고 베타세포기능은 감소하였다.

베타 확률분포를 이용한 입자 떼 최적화 알고리즘의 성능 비교 (On the Comparison of Particle Swarm Optimization Algorithm Performance using Beta Probability Distribution)

  • 이병석;이준화;허문범
    • 제어로봇시스템학회논문지
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    • 제20권8호
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    • pp.854-867
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    • 2014
  • This paper deals with the performance comparison of a PSO algorithm inspired in the process of simulating the behavior pattern of the organisms. The PSO algorithm finds the optimal solution (fitness value) of the objective function based on a stochastic process. Generally, the stochastic process, a random function, is used with the expression related to the velocity included in the PSO algorithm. In this case, the random function of the normal distribution (Gaussian) or uniform distribution are mainly used as the random function in a PSO algorithm. However, in this paper, because the probability distribution which is various with 2 shape parameters can be expressed, the performance comparison of a PSO algorithm using the beta probability distribution function, that is a random function which has a high degree of freedom, is introduced. For performance comparison, 3 functions (Rastrigin, Rosenbrock, Schwefel) were selected among the benchmark Set. And the convergence property was compared and analyzed using PSO-FIW to find the optimal solution.

Parameter Extraction Procedure for Ion Implantation Profiles to Establish Robust Database based on Tail Function

  • Suzuki, Kunihiro;Kojima, Shuichi
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제10권4호
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    • pp.251-259
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    • 2010
  • We proposed a tail function parameter extraction procedure for the establishment of a robust ion implantation database. We showed that, for the expression of ion implantation profiles, there are many local minimum values set for the third and fourth moment parameters of $\gamma$ and $\beta$ for the Pearson function that comprises the standard dual Pearson and tail functions. We proposed the use of a joined tail function as a mediate function to extract $\gamma$ and $\beta$, and demonstrated that this enables us to extract the parameters uniquely. Other parameters associated with channeling phenomena can also be simply and uniquely extracted by our procedure.

On Extended Hurwitz-Lerch Zeta Function

  • Mohannad Jamal Said Shahwan;Maged Gumman Bin-Saad;Mohammed Ahmed Pathan
    • Kyungpook Mathematical Journal
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    • 제63권3호
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    • pp.485-506
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    • 2023
  • This paper investigates an extended form Hurwitz-Lerch zeta function, as well as related integral images, ordinary and fractional derivatives, and series expansions, using the term extended beta function. We establish a connection between the extended Hurwitz-Lerch zeta function and the Laguerre polynomials. Furthermore, we present a probability distribution application of the extended Hurwitz-Lerch zeta function ζ𝛿,𝜇𝜈,λ. Several results, both known and new, are shown to follow as special cases of our findings.

Fekete-Szegö Problem for a Generalized Subclass of Analytic Functions

  • Orhan, Halit;Yagmur, Nihat;Caglar, Murat
    • Kyungpook Mathematical Journal
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    • 제53권1호
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    • pp.13-23
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    • 2013
  • In this present work, the authors obtain Fekete-Szeg$\ddot{o}$ inequality for certain normalized analytic function $f(z)$ defined on the open unit disk for which $$\frac{{\lambda}{\beta}z^3(L(a,c)f(z))^{{\prime}{\prime}{\prime}}+(2{\lambda}{\beta}+{\lambda}-{\beta})z^2(L(a,c)f(z))^{{\prime}{\prime}}+z(L(a,c)f(z))^{{\prime}}}{{\lambda}{\beta}z^2(L(a,c)f(z))^{{\prime}{\prime}}+({\lambda}-{\beta})z(L(a,c)f(z))^{\prime}+(1-{\lambda}+{\beta})(L(a,c)f(z))}\;(0{\leq}{\beta}{\leq}{\lambda}{\leq}1)$$ lies in a region starlike with respect to 1 and is symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by Hadamard product (or convolution) are given. As a special case of this result, Fekete-Szeg$\ddot{o}$ inequality for a class of functions defined through fractional derivatives are obtained.

Beta 함수 모형을 이용한 국내 옥수수 품종의 출사기 예측 (Prediction of Silking Date of Corn Hybrids Using Beta Function Model in South Korea)

  • 심교문;김용석;이진석;정명표;최인태;김호정
    • 한국농림기상학회지
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    • 제19권3호
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    • pp.102-109
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    • 2017
  • 수원 등 4개의 시험포장에서 2008년부터 2013년까지 6년 동안 조사한 옥수수 품종의 생물계절(출사기 등) 자료와 시험포장 인근의 기상관측소에서 측정한 시간별 온도자료를 활용하여 온도기반의 Beta 함수 모형을 개발하였다. Beta 함수 모형을 이용하여 2종의 옥수수 품종에 대한 2014년과 2015년의 출사기 예측을 4개 조사지점에 대해서 각각 수행하였고, 그 결과를 활용하여 모형의 성능을 평가하였다. 모형에 의해 추정한 옥수수의 출사기는 시험포장에서 관측한 출사기보다 이르게 모의하였지만, 이들의 상관계수(r=0.859)는 높은 것으로 확인되었다. 모형의 성능은 지역과 연도에 따라서 다르게 평가되었는데, 이는 모형에 활용된 평균 모수의 표준편차가 커서 나타난 현상으로 추정되었고, 모수의 표준편차가 큰 현상은 시험포장의 기상관측자료의 부재로 다소 떨어진 인근의 기상관측자료를 활용한 것이 한 원인으로 판단되었다.