• Title/Summary/Keyword: and function

Search Result 68,411, Processing Time 0.073 seconds

EXTENDED WRIGHT-BESSEL FUNCTION AND ITS PROPERTIES

  • Arshad, Muhammad;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • Communications of the Korean Mathematical Society
    • /
    • v.33 no.1
    • /
    • pp.143-155
    • /
    • 2018
  • In this present paper, our aim is to introduce an extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ which is established with the help of the extended beta function. Also, we investigate certain integral transforms and generalized integration formulas for the newly defined extended Wright-Bessel function $J^{{\lambda},{\gamma},c}_{{\alpha},q}(z)$ and the obtained results are expressed in terms of Fox-Wright function. Some interesting special cases involving an extended Mittag-Leffler functions are deduced.

Numerical Verification of the First Four Statistical Moments Estimated by a Function Approximation Moment Method (함수 근사 모멘트 방법에서 추정한 1∼4차 통계적 모멘트의 수치적 검증)

  • Kwak, Byung-Man;Huh, Jae-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.31 no.4
    • /
    • pp.490-495
    • /
    • 2007
  • This research aims to examine accuracy and efficiency of the first four moments corresponding to mean, standard deviation, skewness, and kurtosis, which are estimated by a function approximation moment method (FAMM). In FAMM, the moments are estimated from an approximating quadratic function of a system response function. The function approximation is performed on a specially selected experimental region for accuracy, and the number of function evaluations is taken equal to that of the unknown coefficients for efficiency. For this purpose, three error-minimizing conditions are utilized and corresponding canonical experimental regions constructed accordingly. An interpolation function is then obtained using a D-optimal design and then the first four moments of it are obtained as the estimates for the system response function. In order to verify accuracy and efficiency of FAMM, several non-linear examples are considered including a polynomial of order 4, an exponential function, and a rational function. The moments calculated from various coefficients of variation show very good accuracy and efficiency in comparison with those from analytic integration or the Monte Carlo simulation and the experimental design technique proposed by Taguchi and updated by D'Errico and Zaino.

A duplication formula for the double gamma function $Gamma_2$

  • Park, Junesang
    • Bulletin of the Korean Mathematical Society
    • /
    • v.33 no.2
    • /
    • pp.289-294
    • /
    • 1996
  • The double Gamma function had been defined and studied by Barnes [4], [5], [6] and others in about 1900, not appearing in the tables of the most well-known special functions, cited in the exercise by Whittaker and Waston [25, pp. 264]. Recently this function has been revived according to the study of determinants of Laplacians [8], [11], [15], [16], [19], [20], [22] and [24]. Shintani [21] also uses this function to prove the classical Kronecker limit formula. Its p-adic analytic extension appeared in a formula of Casson Nogues [7] for the p-adic L-functions at the point 0.

  • PDF

ON SOME PROPERTIES OF A SINGLE CYCLE T-FUNCTION AND EXAMPLES

  • Rhee, Min Surp
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.23 no.4
    • /
    • pp.885-892
    • /
    • 2010
  • In this paper we study the structures and properties of a single cycle T-finction, whose theory has been lately proposed by Klimov and Shamir. Any cryptographic system based on T-functions may be insecure. Some of the TSC-series stream ciphers have been successfully attacked by some attacks. So it is important to analyze every aspect of a single cycle T-function. We study some properties on a single cycle T-function and we show some examples are single cycle T-functions by these properties, whose proof is easier than existing methods.

The Effects of an Integrated Management Program on Physical Function, Cognitive Function, and Depression in Patients with Subacute stroke (통합관리 프로그램이 아급성 뇌졸중 환자의 운동기능, 인지기능, 우울에 미치는 효과)

  • Yang, Gun Young;Min, Hye Sook
    • Journal of Korean Critical Care Nursing
    • /
    • v.14 no.1
    • /
    • pp.50-62
    • /
    • 2021
  • Purpose : This study examined the effects of an integrated management program on physical function, cognitive function, and depression in patients with subacute stroke. Methods : A nonequivalent control group design was adopted. The participants were assigned to either the experimental group (n=20) or control group (n=23). The experimental group received an 8-week integrated management program and standard rehabilitation service (i.e., physical therapy and occupational therapy), while the control group received the standard rehabilitation service only. Physical function was measured as gait speed and balance ability using the Berg Balance Scale (BBS). Cognitive function was measured with neuro-behavioral cognitive status examination (NCSE), and depression was measured using the Beck Depression Inventory-II (BDI-II). Repeated measure ANOVA was used to determine changes in physical function, cognitive function, and depression over 8-weeks. Results : The interaction between group and time was significant, indicating that the experimental group showed improvement in gait speed, balance ability, cognitive function (linguistic ability, linguistic memory, reasoning), and a decrease in depression compared to the control group. Conclusion : These results indicate that the integrated management program developed herein was beneficial in restoring physical function, cognitive function, and depression in subacute stroke patients.

MONOTONICITY CRITERION AND FUNCTIONAL INEQUALITIES FOR SOME q-SPECIAL FUNCTIONS

  • Mehrez, Khaled
    • Journal of the Korean Mathematical Society
    • /
    • v.58 no.1
    • /
    • pp.133-147
    • /
    • 2021
  • Our aim in this paper is to derive several new monotonicity properties and functional inequalities of some functions involving the q-gamma, q-digamma and q-polygamma functions. More precisely, some classes of functions involving the q-gamma function are proved to be logarithmically completely monotonic and a class of functions involving the q-digamma function is showed to be completely monotonic. As applications of these, we offer upper and lower bounds for this special functions and new sharp upper and lower bounds for the q-analogue harmonic number harmonic are derived. Moreover, a number of two-sided exponential bounding inequalities are given for the q-digamma function and two-sided exponential bounding inequalities are then obtained for the q-tetragamma function.

GENERATING FUNCTIONS OF (p, q)-ANALOGUE OF ALEPH-FUNCTION SATISFYING TRUESDELL'S ASCENDING AND DESCENDING Fp,q-EQUATION

  • ALTAF A. BHAT;M. YOUNUS BHAT;H. MAQBOOL;D.K. JAIN
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.2
    • /
    • pp.373-386
    • /
    • 2023
  • In this paper we have obtained various forms of (p, q)-analogue of Aleph-Function satisfying Truesdell's ascending and descending Fp,q-equation. These structures have been employed to arrive at certain generating functions for (p, q)-analogue of Aleph-Function. Some specific instances of these outcomes as far as (p, q)-analogue of I-function, H-function and G-functions have likewise been obtained.

The Study of Function about Real Life in Children with Cerebral Palsy (뇌성마비아동의 실제생활에서의 기능에 관한 연구)

  • Ko, You-Jeong;Oh, Myung-Hwa
    • The Journal of the Korea institute of electronic communication sciences
    • /
    • v.8 no.11
    • /
    • pp.1763-1770
    • /
    • 2013
  • The purpose of this study was to investigate the correlation amongst the social function, communication function, activities of daily living and gross motor function beyond existing research on physical function and functional capacity in cerebral palsy. 43 children with cerebral palsy participated in this study and significant correlations were found among social function, communication function, activities of daily living and gross motor function. The greatest significant correlations were found between social function and activities of daily living. Significant higher correlations were found between items of social function and communication, but were lower between social function and gross motor function. The results showed that we consider the social aspects of function of children with cerebral palsy in the area of rehabilitation in order to focus on the problem in real life.

A Study of Middleman's Functions in Fisheries Port Market (수산물 산지 중도매인 기능 변화에 관한 연구)

  • Jang, Young-Soo
    • The Journal of Fisheries Business Administration
    • /
    • v.38 no.3
    • /
    • pp.89-108
    • /
    • 2007
  • The purpose of the study are summarized as follows: First, it has researched the new functions of middleman in Fisheries Port Market. Second, the new functions which middleman have to perform in Fisheries Port Market consist of the origin function, marketing function, logistics function. The origin function consists of the discrimination of fish species and freshness, making the price by auction, financing, etc. Marketing function consists of various species assortment from not only fisheries port market but also non fisheries port market as frozen and import fish markets, finding the new selling markets as not broker but wholesaler, making the price and margin non through the action, processing, etc. Logistics function consist of fish stock, delivery Third, it has recognized the upcoming important problems by building up the new functions as middleman in Fisheries port Market. This study has used a questionnaire to verify 3 hypotheses. Research model, factor analysis, regression analysis. The result of this study are summarized as follows: The origin function influences positively on the effectiveness of middleman's performance in Fisheries port Market. Marketing function influences positively on the effectiveness of middleman's performance. However, logistics function did not directly influences on the effectiveness of middleman's performance.

  • PDF

Relation between Gross Motor Function and Eating and Drinking Ability, Oral Motor Function in Cerebral palsy (뇌성마비 아동의 대동작 기능과 먹고 마시기 기능, 구강운동기능의 상관관계 연구)

  • Min, Kyoung-Chul;Moon, Yong-Seon;Seo, Sang-Min
    • Journal of Convergence for Information Technology
    • /
    • v.11 no.8
    • /
    • pp.168-175
    • /
    • 2021
  • Goal of this study is to perform the correlation about Gross motor function, eating-drinking function, and oral motor function, to identify necessity for invervention of feeding disorders on severity of the function of children with cerebral palsy. Subjects were 61 children diagnosed with cerebral palsy. The subject were evaluated for oral motor function, feeding function by GMFCS, EDACS, OMAS. The results of this study showed a significant correlation between gross motor function, eating and drinking functions, and oral motor functions. That is, the more severe the deterioration of the motor function, the lower the functional level of eating and drinking and oral motor function deterioration. In evaluating and treating the eating activity of children with cerebral palsy through this study, it seems necessary to check the eating and drinking function and oral motor function according to the gross motor function.