• Title/Summary/Keyword: Product Functions

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IN INTEGRAL TRANSFORM INVOLVING TWO GENERALISED H-FUNCTIONS

  • Sharma, S.D.
    • Kyungpook Mathematical Journal
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    • v.19 no.1
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    • pp.119-125
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    • 1979
  • In the present paper we study a new integral transform whose kernel involves the product of two H-functions of two complex variables. Next, we establish an inversion formula for this new transform. On account of very general nature of its kernel, several other integral transforms studies earlier by many research workers viz., Bose (1952), Mukherji (1962), Nigam (1963), Rathie (1965), Singh (1969), Mittal & Goel (1973), and Gupta, Garg & Kalla (1975), follow as its particular cases.

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Functional Architecture Modeling of the Product Family (제품가족의 기능적 구조 모델링)

  • Kim, Tai-Oun
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.256-262
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    • 2007
  • In mass customization, the focus is variety and customization through flexibility and quick responsiveness. Mass customizers seek to provide personalized, custom-designed products at low prices to give customers exactly what they want and to provide sufficient variety in products and services. The idea of the product family is the most adequate approach to realize mass customization. An understanding of customer needs using functional decomposition becomes necessary to enhance the performance of the product family. This paper focuses on functional architecture modeling based on customer need regarding sub-functions for the product family. A quantitative functional model captures product functionality and customer need. Based on customer need ratings and sub-function, a product-function matrix was created. Additionally, a product-product matrix was generated to provide a similarity index among product families. A case study for implementing the functional architecture modeling was performed on the single use cameras.

Development of production control information system for multi-product, small-lot-sized production (다품종소량 생산관리정보시스템의 개발사례)

  • 조규갑;김갑환;문일경;김기영
    • Korean Management Science Review
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    • v.10 no.2
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    • pp.43-59
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    • 1993
  • A production control information system developed for multi-product, small-lot-sized production is presented. The system is composed of interrelated modules for production planning, shop floor control, and inventory/material management. The architecture of the system, functions of each module, and information processing procedures of each function are discussed.

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ON SOME FORMULAS FOR THE GENERALIZED APPELL TYPE FUNCTIONS

  • Agarwal, Praveen;Jain, Shilpi;Khan, Mumtaz Ahmad;Nisar, Kottakkaran Sooppy
    • Communications of the Korean Mathematical Society
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    • v.32 no.4
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    • pp.835-850
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    • 2017
  • A remarkably large number of special functions (such as the Gamma and Beta functions, the Gauss hypergeometric function, and so on) have been investigated by many authors. Motivated the works of both works of both Burchnall and Chaundy and Chaundy and very recently, Brychkov and Saad gave interesting generalizations of Appell type functions. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present some new differential formulas for the generalized Appell's type functions ${\kappa}_i$, $i=1,2,{\ldots},18$ by considering the product of two $_4F_3$ functions.

Pascal Distribution Series Connected with Certain Subclasses of Univalent Functions

  • El-Deeb, Sheeza M.;Bulboaca, Teodor;Dziok, Jacek
    • Kyungpook Mathematical Journal
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    • v.59 no.2
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    • pp.301-314
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    • 2019
  • The aim of this article is to make a connection between the Pascal distribution series and some subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution. For these functions, for linear combinations of these functions and their derivatives, for operators defined by convolution products, and for the Alexander-type integral operator, we find simple sufficient conditions such that these mapping belong to a general class of functions defined and studied by Goodman, Rønning, and Bharati et al.

CERTAIN NEW FAMILIES FOR BI-UNIVALENT FUNCTIONS DEFINED BY A KNOWN OPERATOR

  • Wanas, Abbas Kareem;Choi, Junesang
    • East Asian mathematical journal
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    • v.37 no.3
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    • pp.319-331
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    • 2021
  • In this paper, we aim to introduce two new families of analytic and bi-univalent functions associated with the Attiya's operator, which is defined by the Hadamard product of a generalized Mittag-Leffler function and analytic functions on the open unit disk. Then we estimate the second and third coefficients of the Taylor-Maclaurin series expansions of functions belonging to these families. Also, we investigate Fekete-Szegö problem for these families. Some relevant connections of certain special cases of the main results with those in several earlier works are also pointed out. Two naturally-arisen problems are given for further investigation.

Solution of the Product Safety and Reliability responsive to Product Liability Prevention (PL 예방을 위한 제품안전 및 신뢰성 제고 방안)

  • Kim Jin-Gyu
    • Proceedings of the Society of Korea Industrial and System Engineering Conference
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    • 2002.05a
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    • pp.31-36
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    • 2002
  • Product Liability(PL) is a legal policy to deal with global competition by improving domestic industrial competitive power and to reduce the cost of defect products. The purpose of this paper is to address the state of the art solutions to dispute on PL, in reality of a frequent occurrence of global product exchange focussing on product safety that is one of the most important functions of PL and to improve solution of the product safety and reliability responsive to PL. To minimize PL exposure, manufacturers should reflect comprehensive product safety and reliability concepts in establishing PL prevention policies. PL prevention policies are composed of administration system, product safety management system, and total quality management system in respect of prevention, safety, and defence.

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A NEW SUBCLASS OF MEROMORPHIC FUNCTIONS DEFINED BY HILBERT SPACE OPERATOR

  • AKGUL, Arzu
    • Honam Mathematical Journal
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    • v.38 no.3
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    • pp.495-506
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    • 2016
  • In this paper, we introduce and investigate a new subclass of meromorphic functions associated with a certain integral operator on Hilbert space. For this class, we obtain several properties like the coefficient inequality, extreme points, radii of close-to-convexity, starlikeness and meromorphically convexity and integral transformation. Further, it is shown that this class is closed under convex linear combination.

CONDITIONAL FOURIER-FEYNMAN TRANSFORMS OF VARIATIONS OVER WIENER PATHS IN ABSTRACT WIENER SPACE

  • Cho, Dong-Hyun
    • Journal of the Korean Mathematical Society
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    • v.43 no.5
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    • pp.967-990
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    • 2006
  • In this paper, we evaluate first variations, conditional first variations and conditional Fourier-Feynman transforms of cylinder type functions over Wiener paths in abstract Wiener space and then, investigate relationships among first variation, conditional first variation, Fourier-Feynman transform and conditional Fourier-Feynman transform of those functions. Finally, we derive the conditional Fourier-Feynman transform for the product of cylinder type function which defines the functions in a Banach algebra introduced by Yoo, with n linear factors.