• Title/Summary/Keyword: beta-function

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CERTAIN FRACTIONAL INTEGRALS AND IMAGE FORMULAS OF GENERALIZED k-BESSEL FUNCTION

  • Agarwal, Praveen;Chand, Mehar;Choi, Junesang;Singh, Gurmej
    • Communications of the Korean Mathematical Society
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    • v.33 no.2
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    • pp.423-436
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    • 2018
  • We aim to establish certain Saigo hypergeometric fractional integral formulas for a finite product of the generalized k-Bessel functions, which are also used to present image formulas of several integral transforms including beta transform, Laplace transform, and Whittaker transform. The results presented here are potentially useful, and, being very general, can yield a large number of special cases, only two of which are explicitly demonstrated.

SOME INTEGRAL TRANSFORMS AND FRACTIONAL INTEGRAL FORMULAS FOR THE EXTENDED HYPERGEOMETRIC FUNCTIONS

  • Agarwal, Praveen;Choi, Junesang;Kachhia, Krunal B.;Prajapati, Jyotindra C.;Zhou, Hui
    • Communications of the Korean Mathematical Society
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    • v.31 no.3
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    • pp.591-601
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    • 2016
  • Integral transforms and fractional integral formulas involving well-known special functions are interesting in themselves and play important roles in their diverse applications. A large number of integral transforms and fractional integral formulas have been established by many authors. In this paper, we aim at establishing some (presumably) new integral transforms and fractional integral formulas for the generalized hypergeometric type function which has recently been introduced by Luo et al. [9]. Some interesting special cases of our main results are also considered.

Reduction Formulas for Srivastava's Triple Hypergeometric Series F(3)[x, y, z]

  • CHOI, JUNESANG;WANG, XIAOXIA;RATHIE, ARJUN K.
    • Kyungpook Mathematical Journal
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    • v.55 no.2
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    • pp.439-447
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    • 2015
  • Very recently the authors have obtained a very interesting reduction formula for the Srivastava's triple hypergeometric series $F^{(3)}$(x, y, z) by applying the so-called Beta integral method to the Henrici's triple product formula for the hypergeometric series. In this sequel, we also present three more interesting reduction formulas for the function $F^{(3)}$(x, y, z) by using the well known identities due to Bailey and Ramanujan. The results established here are simple, easily derived and (potentially) useful.

Influence of Intracerebroventricular Isoproterenol on the Renal Function of the Rabbit (가토신장기능에 미치는 측뇌실내 Isoproterenol의 영향)

  • Kim, Haeng-Bae;Choi, Bong-Kyu;Kook, Young-Johng
    • The Korean Journal of Pharmacology
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    • v.18 no.1
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    • pp.1-10
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    • 1982
  • In an attempt to delineate the role of beta-adrenoceptors found to be existing in the brain tissue in the central regulation of renal function, isoproterenol, a ${\beta}-adrenergic$ agonist, was administered directly into a lateral ventricle of the rabbit brain and the changes of renal function were observed. Also, the effects of propranolol, a specific ${\beta}-adrenergic$ blocking agent, and its influence upon the isoproterenol action were studied. Isoproterenol, in doses ranging from 5 to $50\;{\mu}g/kg\;i.c.v.$, elicited antidiuresis which seemed to be related to the decreased renal hemodynamics brought about by the systemic hypotension. With moderate doaes of $15\;{\mu}g/kg$ the antidiuresis was less prominent and there was a tendency toward natriuresis, but with higher doses the natriuretic effect became less evident, overrun by the systemic hypotension. Propranolol, $500\;{\mu}g/kg\;i.c.v.$, produced little effect on the renal function, but it eliminated the antidiuretic action of $50\;{\mu}g/kg$ isoproterenol i.c.v. and reversed it to a diuretic and natriuretic one, along with increases in renal plasma flow and glomerular filtration rate. The systemic hypotension also was markedly attenuated by propranolol pretreatment. Thus, it was evident that the renal action of i.c.v. isoproterenol was not blocked by propranolol and became explicit only when the hypotensive action of isoproterenol which seems to he propranolol-sensitive is removed. Various possibilities to account for this disparity in sensitivity were discussed. It is suggested from these observations that the central ${\beta}-adrenoceptors$ might also be involved in the regulation of renal function along with ${\alpha}-adrenoceptors$, though less significant than the latter.

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The Effects of Depression, Cognitive Function, and Activities of Daily Living on Quality of Life for Patients with Stroke (뇌졸중 환자의 우울, 인지, 일상생활활동이 삶의 질에 미치는 영향)

  • Lee, Jong-Min;Kim, Hyeong-Min;Kim, Ji-Hoon
    • The Journal of Korean society of community based occupational therapy
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    • v.5 no.1
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    • pp.1-9
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    • 2015
  • Objective : To purpose of the this study was to investigate the effect of depression, cognitive function, and activities of daily living on quality of life for patients with stroke. Methods : This study was conducted at K hospital located in Daegu, inpatients or outpatients in 50 stroke patients. Appropriate selection criteria for the study subjects who study subjects to evaluate the cognitive function, activities of daily living. General characteristic, depression and quality of life were examined through a questionnaire, which was in the final analysis. Results : Factors that affect the quality of life of the correlation as a result of negatively correlated with their depression(r=-.460, p<.01), age(r=-.481, p<.001), cognitive function(r=.458, p<.01), activities of daily living(r=.560, p<.001), education standard(r=.338, p<.05) was found in the positively correlated. Finally, the effect on quality of life for patients with stroke in variables affecting depression(${\beta}=-.253$, p<.05), age(${\beta}=-.272$, p<.05), and activities of daily living (${\beta}=.279$, p<.05) were the order of analysis. Conclusion : Through this study result, depression and activities of daily living that affect their quality of life has been identified as the main variable.

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Single crystal growth and structure analysis of superionic conductor ${\beta}-Ag_3SI$ (초이온도전체 ${\beta}-Ag_3SI$의 단결정 육성과 결정구조 해석)

  • Nam Woong Cho;Kwang Soo Yoo;Hyung Jin Jung
    • Journal of the Korean Crystal Growth and Crystal Technology
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    • v.4 no.1
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    • pp.63-70
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    • 1994
  • Single crystals of the superionic conductor ${\beta}-Ag_3SI$ were prepared by thermal treatmentr from the reactant mixture of AgI and $Ag_2S$. The growing single crystals were made to spherical shape of $200{mu}m$ in diameter. The detailed structures analyses revealed that $Ag^+$ in ${\beta}-Ag_3SI$ distribute on 12h site of 4-coordination inpreference to 3c site of 6-coordination. The effective one-particle potential (o.p.p.). of $Ag^+$ along [110] direction was evaluated from the probability density function(p.d.f.) Activation energy calculated from the o.p.p. curve has been found to be 0.012 eV for the diffusion of $Ag^+$ on (001) plane in the ${\beta}-Ag_3SI$ structure.

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Endocrinic Effects of Toxaphene and Chlordane in Human Hepatoma Cell (HepG2 Cell) Transfected with Estrogen Receptor and Luciferase Reporter Gene (에스트로겐 수용체 및 Luciferase 리포터 유전자 도입 사람 간 종양세포(HepG2 Cell)에서 Toxaphene과 Chlordane의 내분비 독성)

  • Kim Kyeong-Bae;Jung Ji-Won;Yang Se-Ran;Kang Kyung-Sun;Lee Yong-Soon
    • Toxicological Research
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    • v.20 no.3
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    • pp.205-211
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    • 2004
  • Concern that some chemicals in our environment may affect human health by disrupt-ing normal endocrine function has prompted a research on interactions of environmental contaminants with steroid hormone receptor. Toxaphene and chlordane are among the 12 persistent organic pollutants identified by the United Nations Environment Programme as requiring urgent attention. We compared the estrogenic activity of two organochlorine pesticides, toxaphene and chlordane, at estrogen receptor a (ER$\alpha$) and estrogen receptor $\beta$ (ER$\beta$). Human hepatoma cells (HepG2) were transiently transfected with rat ER$\alpha$ or ER$\beta$ plus an estrogen-responsive complement C3-luciferase (C3-Luc) reporter gene. After transfection, cells were treated with various concentrations of toxaphene and chlordane to investigate agonism or antagonism of these chemicals. Both toxaphene and chlordane were potent agonists in HepG2 cells for ER$\alpha$. In contrast, these chemicals had a minimal agonist activity with ER$\beta$ and almost abolished 17$\beta$-estradiol-induced ER$\beta$-mediated activity. Therefore, toxaphene and chlordane behaved as an ER$\alpha$ agonist and an ER$\beta$ antagonist with estrogen-responsive reporter plasmid C3-Luc, and exposure to these organochlorine pesticides could have a crictical effect on normal endocrine function.

Expression of Thymosin β4 in Ameloblasts during Mouse Tooth Development

  • Choi, Baik-Dong;Lee, Seung-Yeon;Nho, Tae-Hee;Jeong, Soon-Jeong;Lim, Do-Seon;Bae, Chun-Sik;Jeong, Moon-Jin
    • Applied Microscopy
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    • v.46 no.1
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    • pp.58-66
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    • 2016
  • Thymosin ${\beta}4$ ($T{\beta}4$) has been recently reported to play a role in dentinogenesis by regulating the expression of dentin matrix proteins. Based on previous studies, it is hypothesized that $T{\beta}4$ is associated with the formation of the enamel matrix and thus plays an important role in ameloblast. However, there is no report on the function of $T{\beta}4$ during tooth development so far. Therefore, in this study, we aimed to investigate the expression of $T{\beta}4$ and its function in ameloblasts during mouse tooth development. $T{\beta}4$ was expressed strongly in the tooth bud at the bud stage and in the dental lamina and oral epithelium at the cap stage. In advanced bell stage at postnatal day 4, large elongated ameloblasts were observed and the expression of the $T{\beta}4$ protein was the highest, with the enamel being was thicker than that in the early bell stage. The length of ameloblasts increased from the presecretory to the secretory stage and decreased from the maturation to the protective stage. These results suggest that $T{\beta}4$ participates not only in the proliferation of oral epithelial cells during the early stage of tooth development but also regulates enamel protein secretion in ameloblasts and enamel mineralization.

STUDY ON THERMOSENSITIVITY OF CHITOSAN SCAFFOLD AND ON ITS EFFECTS ON FIBROBLAST PROLIFERATION IN CELL THERAPY FOR SOFT TISSUE AUGMENTATION (연조직 증강을 위한 세포치료 시 비계로서 키토산의 온도 감응성 및 섬유모세포의 증식에 미치는 영향에 관한 연구)

  • Kim, Jung-Ho;Choi, Jin-Young
    • Journal of the Korean Association of Oral and Maxillofacial Surgeons
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    • v.35 no.3
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    • pp.146-152
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    • 2009
  • Traditional surgical method or injection using filler is performed for soft tissue augmentation. Surgical methods have disadvantage of surgical morbidity. Commercially available injectable materials have the disadvantages such as resorption, short-term effect. repeated application and hypersensitivity. Significant shortcoming of cell therapy using autologous fibroblasts is delay of treatment effect. Chitosan/${\beta}$-glycerol phosphate (GP) solution has thermosensitive property and allows sol-gel transition at physiologic pH and temperature. These properties may resolve the delay of treatment effect. The purposes of this study are to evaluate the viscosity and pH changes of chitosan/${\beta}$-GP solutions and to evaluate the effect of chitosan/${\beta}$-GP solution on fibroblast proliferation and production of collagen. We measured the viscosity and pH as function of temperature, of the solution containing 1:0.7, 1:0.75, 1:0.8 chitosan (1, 10, 100, 700 kDa) /${\beta}$-GP. Fibroblasts from ears of 5 rats were cultured in chitosan/${\beta}$-GP solutions for 3 weeks. Cell proliferation and collagen contents were measured every week with WST (water-soluble tetrazolium salt) assay and Collagen assay respectively. The Results are 1) Chitosan(100 kDa<)/${\beta}$-GP solution (1:0.75) showed sol-gel transition at physiologic pH and body temperature and injectable properties. It will enable to resolve the delay in treatment effect 2) Cell proliferation and total collagen contents of the control group were increased with time. However, these decreased after the 1st week in experimental group 3) Collagen contents in the experimental group are higher than that of control group. Chitosan/${\beta}$-GP solution may provide favorable conditions for cell function