• Title/Summary/Keyword: I-function

Search Result 5,647, Processing Time 0.031 seconds

p-PRECONVEX SETS ON PRECONVEXITY SPACES

  • Min, Won-Keun
    • Honam Mathematical Journal
    • /
    • v.30 no.3
    • /
    • pp.425-433
    • /
    • 2008
  • In this paper, we introduce the concept of p-preconvex sets on preconvexity spaces. We study some properties for p-preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of pc-convex function, $p^*c$-convex function, pI-convex function and $p^*I$-convex function.

CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION $X_2$

  • Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali
    • The Pure and Applied Mathematics
    • /
    • v.17 no.4
    • /
    • pp.347-354
    • /
    • 2010
  • Exton [Hypergeometric functions of three variables, J. Indian Acad. Math. 4 (1982), 113~119] introduced 20 distinct triple hypergeometric functions whose names are $X_i$ (i = 1, ..., 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions $_oF_1$, $_1F_1$, a Humbert function ${\Psi}_2$, a Humbert function ${\Phi}_2$. The object of this paper is to present 16 (presumably new) integral representations of Euler type for the Exton hypergeometric function $X_2$ among his twenty $X_i$ (i = 1, ..., 20), whose kernels include the Exton function $X_2$ itself, the Appell function $F_4$, and the Lauricella function $F_C$.

ATP and GTP Hydrolytic Function of N-terminally Deleted Annexin I

  • Hyun, Young-Lan;Park, Young-Min;Na, Doe-Sun
    • BMB Reports
    • /
    • v.33 no.4
    • /
    • pp.289-293
    • /
    • 2000
  • Annexin I is a 37 kDa member of the annexin family of calcium-dependent phospholipid binding proteins. Annexin I plays regulatory roles in various cellular processes including cell proliferation and differentiation. Recently we found that annexin I is a heat shock protein (HSP) and displays a chaperone-like function. In this paper we investigated the function of annexin I as an ATPase using 1 to 32 amino acids deleted annexin I (${\Delta}-annexin$ I). ${\Delta}-Annexin$ I hydrolyzed ATP as determined by thin layer chromatography. The ability of ATP hydrolysis was inhibited by ADP, GTP and GDP, but not by the AMP, GMP and cAMP. In view of the ATP hydrolyzing function of HSP, the results support the function of annexin I as a HSP.

  • PDF

ASYMPTOTIC NORMALITY OF WAVELET ESTIMATOR OF REGRESSION FUNCTION UNDER NA ASSUMPTIONS

  • Liang, Han-Ying;Qi, Yan-Yan
    • Bulletin of the Korean Mathematical Society
    • /
    • v.44 no.2
    • /
    • pp.247-257
    • /
    • 2007
  • Consider the heteroscedastic regression model $Y_i=g(x_i)+{\sigma}_i\;{\epsilon}_i=(1{\leq}i{\leq}n)$, where ${\sigma}^2_i=f(u_i)$, the design points $(x_i,\;u_i)$ are known and nonrandom, and g and f are unknown functions defined on closed interval [0, 1]. Under the random errors $\epsilon_i$ form a sequence of NA random variables, we study the asymptotic normality of wavelet estimators of g when f is a known or unknown function.

CERTAIN INTEGRAL REPRESENTATIONS OF EULER TYPE FOR THE EXTON FUNCTION X5

  • Choi, June-Sang;Hasanov, Anvar;Turaev, Mamasali
    • Honam Mathematical Journal
    • /
    • v.32 no.3
    • /
    • pp.389-397
    • /
    • 2010
  • Exton introduced 20 distinct triple hypergeometric functions whose names are Xi (i = 1,$\ldots$, 20) to investigate their twenty Laplace integral representations whose kernels include the confluent hypergeometric functions $_0F_1$, $_1F_1$, a Humbert function $\Psi_2$, a Humbert function $\Phi_2$. The object of this paper is to present 25 (presumably new) integral representations of Euler types for the Exton hypergeometric function $X_5$ among his twenty $X_i$ (i = 1,$\ldots$, 20), whose kernels include the Exton function X5 itself, the Exton function $X_6$, the Horn's functions $H_3$ and $H_4$, and the hypergeometric function F = $_2F_1$.

ON THE DERIVATIVES OF THE VECTOR-VALUED CONTINUOUS FUNCTION

  • Lee, Choon-HO
    • Journal of applied mathematics & informatics
    • /
    • v.23 no.1_2
    • /
    • pp.489-496
    • /
    • 2007
  • Let g be a continuous function on an interval I which is not constant on any subinterval of I, and let ${\mu}$ be a Borel measure on I. In this paper we give a necessary and sufficient conditions guaranteeing, for the strongly measurable function f on I with values in a Banach space X, the existence of a continuous primitive function F on I with respect to g.

Effects on the Recovery of Motor Function, Change ECG and Troponin I According to Different Amounts Exercise in Ischemic Stroke Patients (운동적용 시간량이 허혈성 뇌졸중 환자의 운동기능회복과 심전도 및 Troponin I 에 미치는 영향)

  • Kim, Myung-Chul;Oh, Hyun-Ju
    • Journal of the Korean Society of Physical Medicine
    • /
    • v.5 no.4
    • /
    • pp.559-567
    • /
    • 2010
  • Purpose : The purpose of this study is to investigate the effects of motor function recovery and change of the heart function factors(ECG & Troponin I) with ischemic stroke patients by different amounts(times) exercise. Methods : Forty-six consecutive chronic hemiparetic patients with cerebral infarct were randomly assigned to two groups: Group 1 (exercise time 60 minutes/day) and Group 2 (exercise time 120 minutes/day). Types of exercise included static bicycle, isokinetic exercise, and standing or gait exercise on a treadmill. Outcome measures included the level of motor recovery (Fugl-Meyer Scale, FMS) and heart function (ECG and Troponin I), and measurements were performed three times: pre-test, 8 weeks and 12 weeks. Results : There was a significantly different change of motor function recovery and ECG between two groups during treatment period. Especially there were significantly change period of pre-test to 8 weeks on ECG and pre-test to 12 weeks on motor function recovery. But Troponin I has no significantly different change between two groups during treatment period. Also there was no significantly different change of motor function recovery and ECG and Troponin I with between two groups during treatment period. Conclusion : The exercise program improved motor function and change ECG without Troponin I in two groups. The result of this study shows that no matter how different amounts of exercise to effect of motor function recovery and heart function test in chronic patients with cerebral infarct.