• 제목/요약/키워드: Special functions

검색결과 842건 처리시간 0.027초

Transfer function approximation of motion-induced aerodynamic forces with rational functions

  • Kirch, Arno;Peil, Udo
    • Wind and Structures
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    • 제14권2호
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    • pp.133-151
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    • 2011
  • For a detailed investigation of the dynamic behaviour of slender bridges under wind action especially the motion-induced fluid forces should be available not only for harmonic motions but also for more general ones. If linear transfer behaviour is assumed, the force-displacement relation for almost arbitrary motions can be handled in the frequency domain using aerodynamic transfer functions. In aerospace engineering as well as in bridge engineering, these functions are usually approximated by special kinds of complex-valued rational functions which depend on complex frequencies. The quality of this approximation is evaluated for several bridge cross sections in this article. It is shown that rational functions are for some sections scarcely suitable to realistically represent the transfer behaviour of motion-induced aerodynamic forces for arbitrarily complex frequencies.

APPARENT INTEGRALS MOUNTED WITH THE BESSEL-STRUVE KERNEL FUNCTION

  • Khan, N.U.;Khan, S.W.
    • Honam Mathematical Journal
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    • 제41권1호
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    • pp.163-174
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    • 2019
  • The veritable pursuit of this exegesis is to exhibit integrals affined with the Bessel-Struve kernel function, which are explicitly inscribed in terms of generalized (Wright) hypergeometric function and also the product of generalized (Wright) hypergeometric function with sum of two confluent hypergeometric functions. Somewhat integrals involving exponential functions, modified Bessel functions and Struve functions of order zero and one are also obtained as special cases of our chief results.

THE INCOMPLETE GENERALIZED τ-HYPERGEOMETRIC AND SECOND τ-APPELL FUNCTIONS

  • Parmar, Rakesh Kumar;Saxena, Ram Kishore
    • Journal of the Korean Mathematical Society
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    • 제53권2호
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    • pp.363-379
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    • 2016
  • Motivated mainly by certain interesting recent extensions of the generalized hypergeometric function [Integral Transforms Spec. Funct. 23 (2012), 659-683] and the second Appell function [Appl. Math. Comput. 219 (2013), 8332-8337] by means of the incomplete Pochhammer symbols $({\lambda};{\kappa})_{\nu}$ and $[{\lambda};{\kappa}]_{\nu}$, we introduce here the family of the incomplete generalized ${\tau}$-hypergeometric functions $2{\gamma}_1^{\tau}(z)$ and $2{\Gamma}_1^{\tau}(z)$. The main object of this paper is to study these extensions and investigate their several properties including, for example, their integral representations, derivative formulas, Euler-Beta transform and associated with certain fractional calculus operators. Further, we introduce and investigate the family of incomplete second ${\tau}$-Appell hypergeometric functions ${\Gamma}_2^{{\tau}_1,{\tau}_2}$ and ${\gamma}_2^{{\tau}_1,{\tau}_2}$ of two variables. Relevant connections of certain special cases of the main results presented here with some known identities are also pointed out.

SPECIAL ORTHONORMAL BASIS FOR L2 FUNCTIONS ON THE UNIT CIRCLE

  • Chung, Young-Bok
    • Bulletin of the Korean Mathematical Society
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    • 제54권6호
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    • pp.2013-2027
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    • 2017
  • We compute explicitly the matrices represented by Toeplitz operators on the Hardy space over the unit circle with respect to a special orthonormal basis constructed by author in terms of their symbols. And we also find a necessary condition for the matrix generated by the product of two Toeplitz operators with respect to the basis to be a Toeplitz matrix by a direct calculation and we finally solve commuting problems of two Toeplitz operators in terms of symbols. This is a generalization of the classical results obtained regarding to the orthonormal basis consisting of the monomials.

ON THE CONJUGATE DARBOUX-PROTTER PROBLEMS FOR THE TWO DIMENSIONAL WAVE EQUATIONS IN THE SPECIAL CASE

  • Choi, Jong-Bae;Park, Jong-Yeoul
    • Journal of the Korean Mathematical Society
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    • 제39권5호
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    • pp.681-692
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    • 2002
  • In the article [2], the conjugate Darboux-Protter problem Dn is formulated for the two dimensional wave equation in the class of unbounded functions and the uniqueness of solutions has been established. In this paper, we shall show the existence of solutions for the hyperbolic equations with Bessel operators in another special case.

A RESEARCH ON THE GENERALIZED POLY-BERNOULLI POLYNOMIALS WITH VARIABLE a

  • JUNG, Nam-Soon;RYOO, Cheon Seoung
    • Journal of applied mathematics & informatics
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    • 제36권5_6호
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    • pp.475-489
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    • 2018
  • In this paper, by using the polylogarithm function, we introduce a generalized poly-Bernoulli numbers and polynomials with variable a. We find several combinatorial identities and properties of the polynomials. We give some properties that is connected with the Stirling numbers of second kind. Symmetric properties can be proved by new configured special functions. We display the zeros of the generalized poly-Bernoulli polynomials with variable a and investigate their structure.

A Pollution Adaptive Mesh Generation Algorithm Using Singular Shape Functions (특이 형상함수를 이용한 Pollution 적응 요소생성 알고리즘)

  • 유형선;장준환;편수범
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 한국전산구조공학회 2001년도 봄 학술발표회 논문집
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    • pp.110-118
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    • 2001
  • In many areas of finite element analysis, elements with special properties are required to achieve maximal accuracy. As examples, we may mention infinite elements for the representation of spatial domain that extend to special and singular elements for modeling point and line singularities engendered by geomeric features such as reentrant corners and cracks. In this paper, we study on modified shape function representing singular properties and algorigthm for the pollution adaptive mesh generation. We will also show that the modified shape function reduces pollution error and local error.

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EVALUATION OF THE ZETA FUNCTIONS OF TOTALLY REAL NUMBER FIELDS AND ITS APPLICATION

  • Lee, Jun Ho
    • East Asian mathematical journal
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    • 제35권1호
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    • pp.85-90
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    • 2019
  • In this paper, we are interested in the evaluation of special values of the Dedekind zeta function of a totally real number field. In particular, we revisit Siegel method for values of the zeta function of a totally real number field at negative odd integers and explain how this method is applied to the case of non-normal totally real number field. As one of its applications, we give divisibility property for the values in the special case

Standardizations of Traditional Special Kimchi in Kyungsang Province (경상도 별미김치의 표준화 연구)

  • 한지숙
    • Journal of the East Asian Society of Dietary Life
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    • 제5권2호
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    • pp.27-38
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    • 1995
  • This study was conducted to standardize ingredient ratio and preparation method of mafor traditional special kimchies in kyungsang province, korea. There were about 35 varieties of special kimchi in Kyungsang province. Six varieties of them such as burdock kimchi, wild leek kimchi, green thread onion kimchi, perilla leaf kimchi, Godulbaegi(Korean wild lettuce) kimchi, and red pepper leaf kimchi were selected, because they tasted good and the physiological functions of their main ingredients were excellent. The ingredient ratios of the selected special kimchi were standardized through surveying hereditary preparation of some families in kyungsang province and using the literatures including cooking books. The standardized ingredient ratio of the burdock kimchi was 15.1 pickled anchovy juice, 6.8 red pepper powder, 5.7 garlic, 2.2 ginger, 18.0 rice flour paste, 13.5 green thread onion, and 1.2 sesame seed in proportion to 100 of burdock. The standardized preparation step of the selected special kimchies was similar except some preprocessing methods of main ingredients. The diagonally cut-up burdock ws usually parboiled or soaked in salted water, then it was mixed with the other ingredients. Wild leek and green thread onion were usually pickled with salt or pickled anchovy juice. Sometimes the green thread onion pickled was dried in the sun. General preprocessing of perilla leaf, Korean wild lettuce, and red pepper leaf was soaking them in salted water for about 5-10 days. Sometimes red pepper leaf was heated with steam and dried in the sun, then it was mixed with the other ingredients.

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A File System for User Special Functions using Speed-based Prefetch in Embedded Multimedia Systems (임베디드 멀티미디어 재생기에서 속도기반 미리읽기를 이용한 사용자기능 지원 파일시스템)

  • Choe, Tae-Young;Yoon, Hyeon-Ju
    • Journal of KIISE:Computing Practices and Letters
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    • 제14권7호
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    • pp.625-635
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    • 2008
  • Portable multimedia players have some different properties compared to general multimedia file server. Some of those properties are single user ownership, relatively low hardware performance, I/O burst by user special functions, and short software development cycles. Though suitable for processing multiple user requests at a time, the general multimedia file systems are not efficient for special user functions such as fast forwards/backwards. Soml' methods has been proposed to improve the performance and functionality, which the application programs give prediction hints to the file system. Unfortunately, they require the modification of all applications and recompilation. In this paper, we present a file system that efficiently supports user special functions in embedded multimedia systems using file block allocation, buffer-cache, and prefetch. A prefetch algorithm, SPRA (SPeed-based PRefetch Algorithm) predicts the next block using I/O patterns instead of hints from applications and it is resident in the file system, so doesn't affect application development process. From the experimental file system implementation and comparison with Linux readahead-based algorithms, the proposed system shows $4.29%{\sim}52.63%$ turnaround time and 1.01 to 3,09 times throughput in average.