• Title/Summary/Keyword: Special functions

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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.

GENERAL BICONVEX FUNCTIONS AND BIVARIATIONAL-LIKE INEQUALITIES

  • Noor, Muhammad Aslam
    • Nonlinear Functional Analysis and Applications
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    • v.27 no.1
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    • pp.23-44
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    • 2022
  • In this paper, we consider and introduce some new concepts of the biconvex functions involving an arbitrary bifunction and function. Some new relationships among various concepts of biconvex functions have been established. We have shown that the optimality conditions for the general biconvex functions can be characterized by a class of bivariational-like inequalities. Auxiliary principle technique is used to propose proximal point methods for solving general bivariational-like inequalities. We also discussed the conversance criteria for the suggested methods under pseudo-monotonicity. Our method of proof is very simple compared with methods. Several special cases are discussed as applications of our main concepts and results. It is a challenging problem to explore the applications of the general bivariational-like inequalities in pure and applied sciences.

INTEGRATION OF CONSTRUCTION TECHNIQUES FOR SPECIAL ISOLATION WARDS OF HOSPITAL BUILDINGS

  • Chi-Su Tai ;Sy-Jye Guo
    • International conference on construction engineering and project management
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    • 2005.10a
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    • pp.627-632
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    • 2005
  • The severe acute respiratory syndrome -SARS virus spreaded rapidly in Asia in 2003 caused a lethal and serious epidemic. Establishing special isolation wards of high-level epidemic prevention has becomes one of the most important tasks of epidemic prevention. Taking the biosafety level of US CDC biology laboratory as an example, the laboratory of the highest level, BL4 and that of the second high level, BL3 are only allowed to handle and research this kind of highly dangerous viruses safely, to ensure the safety of researchers and the surrounding environment.This research aims to study the functions and the design requirements of "special isolation wards", which is equivalent to the high-level biotechnology laboratory, and have an integrated discussion about the design and construction techniques of this kind of wards, expecting to provide a reference for constructing special isolation wards and maintaining operation safely in Taiwan.

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A Comparison Study for Wheelchair Seating System between Wheelchair Users with Cerebral Palsy and Spinal Cord Injuries (외상성 척수손상장애인과 뇌성마비장애인의 맞춤형 전동휠체어 적용 시 착석시스템의 차이에 대한 연구)

  • Yoo, S.M.;Cho, K.R.;Lim, M.J.;Kim, J.B.
    • Journal of rehabilitation welfare engineering & assistive technology
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    • v.3 no.1
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    • pp.49-53
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    • 2009
  • In this paper, we compared wheelchair seating system between wheelchair users with cerebral palsy and spinal cord injuries. Wheelchair seating system is divided into three parts, seating components, seating cushion, and special functions. Seating components are composed of 10 sections, such as headrest, footrest, etc. There are 4 seating cushions including gel, form, hybrid, and air. Also leg elevation, seat elevation, tilt-in-space, reclining, and standing are special function of the wheelchair. There are 10 wheelchair users, 5 with celebral palsy, and 5 with spinal cord injuries who have participated in this study. 10 wheelchair users have been customers of rehabilitation technology center in national rehabilitation center. On the result, SCI group mostly uses headrest, and Humeral blocks (seating components), air cushion (seating cushion), and tilt in space, reclining (special functions). On the other hand, CP group uses adductor, abductor, and pommel (seating components), form cushion (seating cushion), and some of CP group uses reclining (special functions)

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Discovering Research of Special Agency of National R&D Management by Analyzing the Current Management System of National R&D Program (연구관리 전문기관의 실태분석을 통한 유형화에 관한 탐색적 연구)

  • Lee, Gil-Woo;Chon, Se-Bong;Ko, Yun-Mi
    • Journal of Korea Technology Innovation Society
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    • v.12 no.1
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    • pp.1-35
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    • 2009
  • This study analyzes the current status of how to manage the national R&D program and the systematic problems of R&D planning, evaluation, and management, and then shows the strategy to support special agency of national R&D management for effective operation. Additionally, this study seeks to search for the macro methods to coordinate and to develop the roles and functions of special agency of national R&D management, and to promote efficiency and productivity of the National R&D investment. First of all, this study generally introduces the national R&D and surveys each special agency of national R&D management by analyzing the status of each agency charged by Ministry. Also, this study defines special agency of national R&D management by investigating each agency's status based on law and finds out the strategy to support special agency of national R&D management for effective operation. Each special agency of national R&D management is based on acts, administrative orders, or blanket contracts and takes whole charge of each National R&D program. The organization forms of special agency of national R&D management can be classified into two forms: One is a form to plan, to evaluate, and to manage the National R&D program and other is a form to research program together with the functions of planning, evaluation, and management. Therefore, this study defines special agency of national R&D management as "an organization, having a legal basis(acts, administrative orders), funded and charged by government for executing R&D planning, evaluation and management of R&D program." This study shows the strategy to operate special agency of national R&D management efficiently by analyzing each agency's current status and comparing each agency with each other. Moreover, every agency has a committee member pool, and the pool is classified well according to the fields of work and technology. Also, the special agency of national R&D management has its own organization to manage performances of program.

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Numerical solving of initial-value problems by Rbf basis functions

  • Gotovac, Blaz;Kozulic, Vedrana
    • Structural Engineering and Mechanics
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    • v.14 no.3
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    • pp.263-285
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    • 2002
  • This paper presents a numerical procedure for solving initial-value problems using the special functions which belong to a class of Rvachev's basis functions $R_{bf}$ based on algebraic and trigonometric polynomials. Because of infinite derivability of these functions, derivatives of all orders, required by differential equation of the problem and initial conditions, are used directly in the numerical procedure. The accuracy and stability of the proposed numerical procedure are proved on an example of a single degree of freedom system. Critical time step was also determined. An algorithm for solving multiple degree of freedom systems by the collocation method was developed. Numerical results obtained by $R_{bf}$ functions are compared with exact solutions and results obtained by the most commonly used numerical procedures for solving initial-value problems.

SOME τ-EXTENSIONS OF LAURICELLA FUNCTIONS OF SEVERAL VARIABLES

  • KALLA, SHYAM LAL;PARMAR, RAKESH KUMAR;PUROHIT, SUNIL DUTT
    • Communications of the Korean Mathematical Society
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    • v.30 no.3
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    • pp.239-252
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    • 2015
  • Motivated mainly by certain interesting extensions of the ${\tau}$-hypergeometric function defined by Virchenko et al. [11] and some ${\tau}$-Appell's function introduced by Al-Shammery and Kalla [1], we introduce here the ${\tau}$-Lauricella functions $F_A^{(n),{\tau}_1,{\cdots},{\tau}_n}$, $F_B^{(n),{\tau}_1,{\cdots},{\tau}_n}$ and $F_D^{(n),{\tau}_1,{\cdots},{\tau}_n}$ and the confluent forms ${\Phi}_2^{(n),{\tau}_1,{\cdots},{\tau}_n}$ and ${\Phi}_D^{(n),{\tau}_1,{\cdots},{\tau}_n}$ of n variables. We then systematically investigate their various integral representations of each of these ${\tau}$-Lauricella functions including their generating functions. Various (known or new) special cases and consequences of the results presented here are also considered.

CERTAIN UNIFIED INTEGRALS INVOLVING A PRODUCT OF BESSEL FUNCTIONS OF THE FIRST KIND

  • Choi, Junesang;Agarwal, Praveen
    • Honam Mathematical Journal
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    • v.35 no.4
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    • pp.667-677
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    • 2013
  • A remarkably large number of integrals involving a product of certain combinations of Bessel functions of several kinds as well as Bessel functions, themselves, have been investigated by many authors. Motivated the works of both Garg and Mittal and Ali, very recently, Choi and Agarwal gave two interesting unified integrals involving the Bessel function of the first kind $J_{\nu}(z)$. In the present sequel to the aforementioned investigations and some of the earlier works listed in the reference, we present two generalized integral formulas involving a product of Bessel functions of the first kind, which are expressed in terms of the generalized Lauricella series due to Srivastava and Daoust. Some interesting special cases and (potential) usefulness of our main results are also considered and remarked, respectively.

EXTENSION OF EXTENDED BETA, HYPERGEOMETRIC AND CONFLUENT HYPERGEOMETRIC FUNCTIONS

  • Choi, Junesang;Rathie, Arjun K.;Parmar, Rakesh K.
    • Honam Mathematical Journal
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    • v.36 no.2
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    • pp.357-385
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    • 2014
  • Recently several authors have extended the Gamma function, Beta function, the hypergeometric function, and the confluent hypergeometric function by using their integral representations and provided many interesting properties of their extended functions. Here we aim at giving further extensions of the abovementioned extended functions and investigating various formulas for the further extended functions in a systematic manner. Moreover, our extension of the Beta function is shown to be applied to Statistics and also our extensions find some connections with other special functions and polynomials such as Laguerre polynomials, Macdonald and Whittaker functions.

Development of Special Asset Management System Using RFID (RFID를 이용한 특수 자산 관리 시스템 개발)

  • Han, Sang-Hoon;Min, Jang-Geun
    • The Journal of the Korea Contents Association
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    • v.11 no.6
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    • pp.33-41
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    • 2011
  • RFID technology is already used in the various application fields such as identification card, traffic card and etc. Many RFID application systems using UHF have been developed in the field of asset management, logistics and security. Because a human being can make mistakes, we need the system that can efficiently manage the special assets such as small arms, jewelry and medicine and can monitor them in real time. In this paper, we proposed a special assets management system to keep assets in safe custody, to monitor their safety status in real time and to manage distribution channels and history of those assets. The developed system is called Smart Cabinet because it has cabinet's form. Smart Cabinet integrates such technologies as RFID, smart card, fingerprint recognition, several sensors and LCD display in order to provide the functions for special asset management. Those functions include condition monitoring of assets, traceability management, distribution channels and security logs, which are to interact with a management server. The article demonstrated the potentiality of RFID by presenting special asset management solutions dedicated to guns and medicine management, and also showed the effectiveness and possibility of those solutions.