• 제목/요약/키워드: special functions

검색결과 851건 처리시간 0.028초

SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES HC

  • Kim, Yong-Sup;Rathie, Arjun Kumar;Choi, June-Sang
    • 대한수학회논문집
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    • 제25권2호
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    • pp.185-191
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    • 2010
  • Srivastava noticed the existence of three additional complete triple hypergeometric functions $H_A$, $H_B$ and $H_C$ of the second order in the course of an extensive investigation of Lauricella's fourteen hypergeometric functions of three variables. In 2004, Rathie and Kim obtained four summation formulas containing a large number of very interesting reducible cases of Srivastava's triple hypergeometric series $H_A$ and $H_C$. Here we are also aiming at presenting two unified summation formulas (actually, including 62 ones) for some reducible cases of Srivastava's $H_C$ with the help of generalized Dixon's theorem and generalized Whipple's theorem on the sum of a $_3F_2$ obtained earlier by Lavoie et al.. Some special cases of our results are also considered.

UNIQUENESS THEOREMS OF MEROMORPHIC FUNCTIONS OF A CERTAIN FORM

  • Xu, Junfeng;Han, Qi;Zhang, Jilong
    • 대한수학회보
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    • 제46권6호
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    • pp.1079-1089
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    • 2009
  • In this paper, we shall show that for any entire function f, the function of the form $f^m(f^n$ - 1)f' has no non-zero finite Picard value for all positive integers m, n ${\in}\;{\mathbb{N}}$ possibly except for the special case m = n = 1. Furthermore, we shall also show that for any two nonconstant meromorphic functions f and g, if $f^m(f^n$-1)f' and $g^m(g^n$-1)g' share the value 1 weakly, then f $\equiv$ g provided that m and n satisfy some conditions. In particular, if f and g are entire, then the restrictions on m and n could be greatly reduced.

CERTAIN GENERALIZED OSTROWSKI TYPE INEQUALITIES FOR LOCAL FRACTIONAL INTEGRALS

  • Choi, Junesang;Set, Erhan;Tomar, Muharrem
    • 대한수학회논문집
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    • 제32권3호
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    • pp.601-617
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    • 2017
  • We give a function associated with generalized Ostrowski type inequality and its integral representation for local fractional calculus. Then, using this function and its integral representation, we establish several inequalities of generalized Ostrowski type for twice local fractional differentiable functions. We also consider some special cases of the main results which are further applied to a concrete function to yield two interesting inequalities associated with two generalized means.

담화상에 나타나는 목적격표지 {-를}의 음향적 특성 (The Acoustic Characteristics of the Korean Accusative Marker {l${\i}$l} in Discourse)

  • 김기호;김화영;김민정
    • 음성과학
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    • 제6권
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    • pp.55-82
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    • 1999
  • The purpose of this paper is to investigate the acoustic characteristics of the Korean accusative marker {-lil} which functions as a discourse marker in discourse. Generally, in written texts or read speeches, it is seldom omitted and it certainly seems to serve a grammatical function. But in ordinary discourse, speakers do not use it in many cases. That is, the environments speakers use {-lil} differ from those they do not. According to the semantic interpretations, {-lil} functions as a pragmatic factor and adds to the meaning of the object in an utterance. In this paper, by comparing the acoustic characteristics of the utterances that contain the marker {-lil} with those of utterances that do not, especially based on Korean Intonational Phonology, we will demonstrate that the Korean accusative marker {-lil} shows clearly the acoustic characteristics related to the pragmatic factors which reflect speakers' special intention.

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Development of Realtime Integrated Monitoring System in Product lines and Its Application

  • Kim, Sang-Bong;Kim, Suk-Yoel;Park, Soung-Jea;Lee, Young-Hwan;Kim, Soung-Min
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.126.4-126
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    • 2001
  • Recently, researches on CIM in product lines of industrial plant are widely progressed, automation of working environment with modernization of product equipments is realized and also, installation of integrated control system based on computer is activated. Since the CIM system is basically developed by using computer, there are several complicated problems such as design problem of hardware interface between computer and many product machines with individual special functions, software development problem with realtime data process and multi communication functions for realtime data monitoring and control of product machines This paper shows the development results for a single board type of microcontroller and a monitoring software based on realtime processing database system ...

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EC 정보활동의 구조 : 정보정책수행의 매카니즘 (Information Activities of European Communities : Mechanism in the Implementation of the Information Policies.)

  • 구자영
    • 한국문헌정보학회지
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    • 제23권
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    • pp.1-31
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    • 1992
  • The present study aims at a systematic access to EC information. EC information is the outcome of the complex organizations, the continuous changes in functions and the subsequent changes in policies. An attempt for an effective approach to the information requires the examination of the organizational structures and changes, the processes involved in formulating and implmenting the information policies, and the infrastucture for information. Information activities of the major organizations of EC have been examined with a special reference to the Commission of European Communities. The Commission is the EC institution from which the majority of the EC's documentation originates. The information functions of the Commission have been studied in such categories as information production and distribution, authorizing services, and information services to the public.

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유도 초음파 이용 결함 진단을 위한 정합추적 기법 (Matching Pursuit Approach for Guided Wave-based Damage Inspection)

  • 홍진철;선경호;김윤영
    • 한국소음진동공학회논문집
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    • 제15권4호
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    • pp.382-387
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    • 2005
  • For successful guided-wave damage inspection, the appropriate signal processing of measured wave signals is very important. The objective of this paper is to introduce an efficient signal processing technique especially suitable for the guided-waves used for damage detection. The key idea of this technique is to model guided-waves by chirp functions of special form considering the dispersion phenomenon. To determine the parameter of the chirp functions simulating guided-waves, the matching pursuit algorithm is employed. The damage information in waveguides can be extracted by pulse-characterizing parameters. The effectiveness of present method is checked with the guided wave-based damage inspection.

Parametric Blind Restoration of Bi-level Images with Unknown Intensities

  • Kim, Daeun;Ahn, Sohyun;Kim, Jeongtae
    • IEIE Transactions on Smart Processing and Computing
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    • 제5권5호
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    • pp.319-322
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    • 2016
  • We propose a parametric blind deconvolution method for bi-level images with unknown intensity levels that estimates unknown parameters for point spread functions and images by minimizing a penalized nonlinear least squares objective function based on normalized correlation coefficients and two regularization functions. Unlike conventional methods, the proposed method does not require knowledge about true intensity values. Moreover, the objective function of the proposed method can be effectively minimized, since it has the special structure of nonlinear least squares. We demonstrate the effectiveness of the proposed method through simulations and experiments.

Balking Phenomenon in the $M^{[x]}/G/1$ Vacation Queue

  • Madan, Kailash C.
    • Journal of the Korean Statistical Society
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    • 제31권4호
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    • pp.491-507
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    • 2002
  • We analyze a single server bulk input queue with optional server vacations under a single vacation policy and balking phenomenon. The service times of the customers as well as the vacation times of the server have been assumed to be arbitrary (general). We further assume that not all arriving batches join the system during server's vacation periods. The supplementary variable technique is employed to obtain time-dependent probability generating functions of the queue size as well as the system size in terms of their Laplace transforms. For the steady state, we obtain probability generating functions of the queue size as well as the system size, the expected number of customers and the expected waiting time of the customers in the queue as well as the system, all in explicit and closed forms. Some special cases are discussed and some known results have been derived.

Weak forms of generalized governing equations in theory of elasticity

  • Shi, G.;Tang, L.
    • Interaction and multiscale mechanics
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    • 제1권3호
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    • pp.329-337
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    • 2008
  • This paper presents the derivation of the generalized governing equations in theory of elasticity, their weak forms and the some applications in the numerical analysis of structural mechanics. Unlike the differential equations in classical elasticity theory, the generalized equations of the equilibrium and compatibility equations presented here take the form of integral equations, and the generalized equilibrium equations contain the classical differential equations and the boundary conditions in a single equation. By using appropriate test functions, the weak forms of these generalized governing equations can be established. It can be shown that various variational principles in structural analysis are merely the special cases of these weak forms of generalized governing equations in elasticity. The present weak forms of elasticity equations extend greatly the choices of the trial functions for approximate solutions in the numerical analysis of various engineering problems. Therefore, the weak forms of generalized governing equations in elasticity provide a powerful modeling tool in the computational structural mechanics.