• 제목/요약/키워드: and function

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EXTENDED WRIGHT-BESSEL FUNCTION AND ITS PROPERTIES

  • Arshad, Muhammad;Mubeen, Shahid;Nisar, Kottakkaran Sooppy;Rahman, Gauhar
    • 대한수학회논문집
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    • 제33권1호
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    • pp.143-155
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    • 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.

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

  • 곽병만;허재성
    • 대한기계학회논문집A
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    • 제31권4호
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    • pp.490-495
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    • 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
    • 대한수학회보
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    • 제33권2호
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    • pp.289-294
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    • 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.

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

  • Rhee, Min Surp
    • 충청수학회지
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    • 제23권4호
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    • pp.885-892
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    • 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.

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

  • 양근영;민혜숙
    • 중환자간호학회지
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    • 제14권1호
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    • pp.50-62
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    • 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
    • 대한수학회지
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    • 제58권1호
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    • pp.133-147
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    • 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
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    • 제41권2호
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    • pp.373-386
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    • 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.

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

  • 고유정;오명화
    • 한국전자통신학회논문지
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    • 제8권11호
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    • pp.1763-1770
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    • 2013
  • 본 연구는 뇌성마비아동의 신체적 기능과 기능적인 능력에 관한 기존의 연구에서 벗어나 아동의 사회적 능력, 의사소통 능력, 일상생활활동, 대근육활동 간의 상관관계를 연구하였다. 뇌성마비 진단을 받은 아동 43명을 대상으로 평가를 실시한 결과 사회적 기능, 일상생활활동, 의사소통능력, 대동작활동과의 상관관계에서 네영역 모두 유의미한 상관관계를 보였다. 특히 사회적 기능과 일상생활활동과 하부항목 간의 상관관계에서 높은 상관관계를 보였다. 또한 사회적 능력의 하부항목들과 의사소통능력과의 상관관계가 높은 반면 대근육활동과의 상관관계에서는 낮은 상관관계를 보였다. 이러한 연구결과는 재활영역에서 뇌성마비 아동들의 실제 생활에서의 문제에 초점을 맞추기 위해 기능의 사회적인 측면을 고려해야 함을 시사한다.

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

  • 장영수
    • 수산경영론집
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    • 제38권3호
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    • pp.89-108
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    • 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.

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

  • 민경철;문용선;서상민
    • 융합정보논문지
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    • 제11권8호
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    • pp.168-175
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    • 2021
  • 본 연구는 뇌성마비 아동의 대동작 기능과 먹기, 마시기 기능, 구강 운동 기능과의 상관관계를 확인해보고, 뇌성마비 아동의 대동작 기능의 심한 정도에 따른 연하 재활의 필요성을 확인하기 위해 시행되었다. 뇌성마비 진단을 받은 아동 61명을 대상으로 대동작 기능 분류 체계(GMFCS), 먹기와 마시기 기능분류 체계(EDACS), 구강 운동 기능 검사(OMAS)를 사용하여 대동작 기능, 먹고 마시기 기능, 구강 운동 기능 수준을 평가하고 각 기능 간 상관관계를 확인하였다. 본 연구의 결과는 대동작, 먹고 마시기 기능, 구강 운동 기능 사이에서 유의한 상관관계를 보였다. 즉, 대동작 기능 저하가 심할수록 먹고 마시기 기능과 구강 운동 기능 저하 역시 낮은 기능 수준을 보였다. 본 연구를 통하여 뇌성마비 아동의 섭식활동을 평가하고 치료함에 있어, 아동의 대동작 기능에 따른 먹고 마시기 기능, 구강 운동 기능에 대한 확인이 필요할 것으로 보인다.