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DECOMPOSITION FORMULAS FOR THE GENERALIZID HYPERGEOMETRIC 4F3 FUNCTION

  • Hasanov, Anvar;Turaev, Mamasali;Choi, June-Sang
    • Honam Mathematical Journal
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    • v.32 no.1
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    • pp.1-16
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    • 2010
  • By using the generalized operator method given by Burchnall and Chaundy in 1940, the authors present one-dimensional inverse pairs of symbolic operators. Many operator identities involving these pairs of symbolic operators are rst constructed. By means of these operator identities, 11 decomposition formulas for the generalized hypergeometric $_4F_3$ function are then given. Furthermore, the integral representations associated with generalized hypergeometric functions are also presented.

UNIQUENESS THEOREM FOR A MEROMORPHIC FUNCTION AND ITS EXACT DIFFERENCE

  • Chen, Shengjiang;Xu, Aizhu
    • Bulletin of the Korean Mathematical Society
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    • v.57 no.5
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    • pp.1307-1317
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    • 2020
  • Let f be a nonconstant meromorphic function of hyper order strictly less than 1, and let c be a nonzero finite complex number such that f(z + c) ≢ f(z). We prove that if ∆cf = f(z + c) - f(z) and f share 0, ∞ CM and 1 IM, then ∆cf = f. Our result generalizes and greatly improves the related results.

APPLICATION OF GEGENBAUER POLYNOMIALS TO CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF ORDER ν + iς

  • Omar Alnajar;Ala Amourah;Maslina Darus
    • Korean Journal of Mathematics
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    • v.32 no.1
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    • pp.183-193
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    • 2024
  • In this paper, a new class of bi-univalent functions that are described by Gegenbauer polynomials is presented. We obtain the estimates of the Taylor-Maclaurin coefficients |m2| and |m3| for each function in this class of bi-univalent functions. In addition, the Fekete-Szegö problems function new are also studied.

Effects of Breathing Exercise Interventions on Lung Function in COVID-19 Survivors (호흡운동 중재방법이 COVID-19 생존자의 폐기능에 미치는 영향)

  • Chung-Yoo Kim;Hyeon-Su Kim;Yeon-Su Kim;Ki-Jeoung Ahn
    • Journal of The Korean Society of Integrative Medicine
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    • v.12 no.2
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    • pp.133-140
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    • 2024
  • Purpose : People who have suffered from COVID-19 suffer from decreased pulmonary function and various side effects. This study aims to present three respiratory exercise intervention methods to improve pulmonary function in COVID-19 survivors. Therefore, the purpose of this study will investigate the effects of breathing exercise interventions (aerobic exercise, diaphragm breathe exercise, and inspiratory muscle training on resistance) on pulmonary function in COVID-19 survivors. Methods : The subjects who participated in this study were 35 male and female college students confirmed with COVID-19. All subjects were randomly assigned to A, D, and I groups according to breathing exercise intervention method. Groups A, D, and I each performed aerobic exercise, diaphragm breathing exercise, and inspiratory muscle training on resistance, 3 times a week for 6 weeks. Pulmonary function was measured using a spirometer, and FVC (forced vital capacity), FEV1 (forced expiratory volume in one second), FEV1/FVC % (forced expiratory volume in one second / forced vital capacity ratio), and PEF (peak expiratory flow) were measured at 0, 3, and 6 weeks. Data analysis was compared by repeated measures analysis of variance, and post hoc tests for time were compared and analyzed using paired t-tests. Results : In the results of this study, FVC values showed statistically significant improvement in all groups. FEV1 values also showed statistically significant improvement in all groups. And the FEV1/FVC % value also showed statistically significant improvement in all groups. And the PEF values also showed statistically significant improvement in all groups. Conclusion : The results of this study reported that aerobic exercise, diaphragm breathing exercise, and resistance inspiratory muscle training were all effective in improving pulmonary function in COVID-19 survivors. Therefore, application of the three breathing exercise intervention methods presented in this study will help improve pulmonary function in COVID-19 survivors.

Effects of gas signaling molecule SO2 in cardiac functions of hyperthyroid rats

  • Qi Yang;Ting Yang;Xing Liu;Shengquan Liu;Wei Liu;Liangui Nie;Chun Chu;Jun Yang
    • The Korean Journal of Physiology and Pharmacology
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    • v.28 no.2
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    • pp.129-143
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    • 2024
  • Sulfur dioxide (SO2), a novel endogenous gas signaling molecule, is involved in the regulation of cardiac function. Exerting a key role in progression of hyperthyroidism-induced cardiomyopathy (HTC), myocardial fibrosis is mainly caused by myocardial apoptosis, leading to poor treatment outcomes and prognoses. This study aimed to investigate the effect of SO2 on the hyperthyroidism-induced myocardial fibrosis and the underlying regulatory mechanisms. Elisa, Masson staining, Western-Blot, transmission electron microscope, and immunofluorescence were employed to evaluate the myocardial interstitial collagen deposition, endoplasmic reticulum stress (ERS), apoptosis, changes in endogenous SO2, and Hippo pathways from in vitro and in vivo experiments. The study results indicated that the hyperthyroidism-induced myocardial fibrosis was accompanied by decreased cardiac function, and down-regulated ERS, apoptosis, and endogenous SO2-producing enzyme aspartate aminotransferase (AAT)1/2 in cardiac myocytes. In contrast, exogenous SO2 donors improved cardiac function, reduced myocardial interstitial collagen deposition, up-regulated AAT1/2, antagonized ERS and apoptosis, and inhibited excessive activation of Hippo pathway in hyperthyroid rats. In conclusion, the results herein suggested that SO2 inhibited the overactivation of the Hippo pathway, antagonized ERS and apoptosis, and alleviated myocardial fibrosis in hyperthyroid rats. Therefore, this study was expected to identify intervention targets and new strategies for prevention and treatment of HTC.

CONDITIONAL FORUIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT FOR A VECTOR VALUED CONDITIONING FUNCTION

  • Kim, Bong Jin
    • Korean Journal of Mathematics
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    • v.30 no.2
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    • pp.239-247
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    • 2022
  • Let C0[0, T] denote the Wiener space, the space of continuous functions x(t) on [0, T] such that x(0) = 0. Define a random vector $Z_{\vec{e},k}:C_0[0,\;T] {\rightarrow}{\mathbb{R}}^k$ by $$Z_{\vec{e},k}(x)=({\normalsize\displaystyle\smashmargin{2}{\int\nolimits_0}^T}\;e_1(t)dx(t),\;{\ldots},\;{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_0}^T}\;ek(t)dx(t))$$ where ej ∈ L2[0, T] with ej ≠ 0 a.e., j = 1, …, k. In this paper we study the conditional Fourier-Feynman transform and a conditional convolution product for a cylinder type functionals defined on C0[0, T] with a general vector valued conditioning functions $Z_{\vec{e},k}$ above which need not depend upon the values of x at only finitely many points in (0, T] rather than a conditioning function X(x) = (x(t1), …, x(tn)) where 0 < t1 < … < tn = T. In particular we show that the conditional Fourier-Feynman transform of the conditional convolution product is the product of conditional Fourier-Feynman transforms.

A Study on the Hydrogenation Properties of Mechanically Alloyed Ti0.7Mg0.3Ni (기계적합금화에 의해 제조된 Ti0.7Mg0.3Ni합금의 수소화학반응특성에 관한 연구)

  • Kim, Eul-Soo;Ahn, Hyo-Jun;Kim, Ki-Won
    • Transactions of the Korean hydrogen and new energy society
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    • v.8 no.4
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    • pp.173-180
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    • 1997
  • The Mechanically Alloyed $Ti_{0.7}Mg_{0.3}Ni$ was investigated as a function of milling time by X-ray diffraction, SEM(scanning electron microscope), EDS(energy dispersive spectrometer), P-C-Isotherm curves. After 10hrs milling, mixed $Ti_{0.7}Mg_{0.3}Ni$ powders were changed to amorphous phase. And amorphous $Ti_{0.7}Mg_{0.3}Ni$ alloys became TiNi phase crystalline after heat treatment at 873K in a vacuum for 1 hour. The hydrogen absorption capacity of the annealed $Ti_{0.7}Mg_{0.3}Ni$ alloy increased as a function of mechanical alloying time.

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