• Title/Summary/Keyword: family of functions

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The Study on the functions of Metro Healthy-Families-Center and of the Evaluation for Healthy-families-Center (광역 건강가정지원센터의 기능 및 건강가정지원센터 평가 기능에 대한 연구)

  • Song, Hye-Rim;Rah, Hwee-Mun
    • Journal of Family Resource Management and Policy Review
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    • v.13 no.3
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    • pp.1-16
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    • 2009
  • The purpose of this study were to establish the concrete function of Metro Healthy-Families-Center and to find out the function of evaluation for Healthy-Families-Center. For this study the data was collected from the 10 interviewees. The findings were: 1) the major functions of Metro Healthy-Families-Center are the connection between the Central and Basic Center of Healthy Families, support for the Basic Center. 2) the evaluation for Metro and Basic Center is referred as the function of Central Center of Healthy Families. 3) the evaluation-support function of Metro Healthy-Families Center is emphasized. To the further related studies the development of programs corresponding to the functions is suggested.

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Further Results about the Normal Family of Meromorphic Functions and Shared Sets

  • Qi, Jianming;Zhang, Guowei;Zhou, Linlin
    • Kyungpook Mathematical Journal
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    • v.52 no.1
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    • pp.39-47
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    • 2012
  • Let $\mathcal{F}$ be a family of meromorphic functions in a domain D, and let $k$, $n({\geq}2)$ be two positive integers, and let $S=\{a_1,a_2,{\ldots},a_n\}$, where $a_1$, $a_2$, ${\ldots}$, $a_n$ are distinct finite complex numbers. If for each $f{\in}\mathcal{F}$, all zeros of $f$ have multiplicity at least $k+1$, $f$ and $G(f)$ share the set $S$ in $D$, where $G(f)=P(f^{(k)})+H(f)$ is a differential polynomial of $f$, then$\mathcal{F}$ is normal in $D$.

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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    • v.53 no.2
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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.

The Normality of Meromorphic Functions with Multiple Zeros and Poles Concerning Sharing Values

  • WANG, YOU-MING
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.641-652
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    • 2015
  • In this paper we study the problem of normal families of meromorphic functions concerning shared values. Let F be a family of meromorphic functions in the plane domain $D{\subseteq}{\mathbb{C}}$ and n, k be two positive integers such that $n{\geq}k+1$, and let a, b be two finite complex constants such that $a{\neq}0$. Suppose that (1) $f+a(f^{(k)})^n$ and $g+a(g^{(k)})^n$ share b in D for every pair of functions f, $g{\in}F$; (2) All zeros of f have multiplicity at least k + 2 and all poles of f have multiplicity at least 2 for each $f{\in}F$ in D; (3) Zeros of $f^{(k)}(z)$ are not the b points of f(z) for each $f{\in}F$ in D. Then F is normal in D. And some examples are provided to show the result is sharp.

A Study on Family Life Education (가족생활 교육 프로그램 개발을 위한 기초연구 (I))

  • 유영주;오윤자
    • Journal of Families and Better Life
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    • v.8 no.2
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    • pp.49-68
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    • 1990
  • Family Life Education(FLE) is an educational specialty which was originated in reaction to changing social conditions, industrialization, and urbanization It deals with the perceived inadequacies of families to cope with these changes, thereby reducing social problems involved with and improving family life. With an assumption that the studies about FLE have not been so active in Korea, the present thesis examines the FLE in Korea; i.e. the definition, the objectives, the scope, the approximation of family life education, and the necessity of marital education in Korea based upon the published theories of FLE in th United Stated of America. Also it attempts to formulate a tentative plan for the promotion of a FLE program in Korea. The concept of FLE in Korea was manifested in the social educational law and life-span education, specified as the 4th among ten presidential regulations; and it has drawn an institutional, governmental attention It is defined as " the life-span developmental education to enhance the quality of human life, to solve family problem, to develop an individual's potentiality, and to strengthen the family correlations." of the FLE programs, the marital education is considered one of the crucial subjects because it is the core of the family life. With this premise, FLE tries to support the healthy marital relations, , subsequently helping to explore the family potentiality and to strengthen family ties, Considering the seemingly dual characteristics of the Korean family types, the contents of marital education program should be consisted of the following; marital communication, role cooperation, and effective expressions of mutual affection, In addition, reciprocal understanding and cooperation of the married couples to overcome the differences of value, personality, hobby, and religion, the educational methods in raising kids, and the effective management of home economics should be included. The objects of the FLE program are unmarried, pre-married, and married persons. Fro the married persons, the FLE program should be arranged in accordance with their marital status divided by the family life cycle so that they may prevent possible family problems at each stage of the family life. Also, to prevent the problems incurred in the curse of carrying out family functions, the FLE program should be provided with on the basis of a family unit, thereby improving the quality of the family functions.

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GENERATING FUNCTIONS FOR THE EXTENDED WRIGHT TYPE HYPERGEOMETRIC FUNCTION

  • Jana, Ranjan Kumar;Maheshwari, Bhumika;Shukla, Ajay Kumar
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.75-84
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    • 2017
  • In recent years, several interesting families of generating functions for various classes of hypergeometric functions were investigated systematically. In the present paper, we introduce a new family of extended Wright type hypergeometric function and obtain several classes of generating relations for this extended Wright type hypergeometric function.

Structural studies of serotonin receptor family

  • Apeksha Parajulee;Kuglae Kim
    • BMB Reports
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    • v.56 no.10
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    • pp.527-536
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    • 2023
  • Serotonin receptors, also known as 5-HT receptors, belong to the G protein-coupled receptors (GPCRs) superfamily. They mediate the effects of serotonin, a neurotransmitter that plays a key role in a wide range of functions including mood regulation, cognition and appetite. The functions of serotonin are mediated by a family of 5-HT receptors including 12 GPCRs belonging to six major families: 5-HT1, 5-HT2, 5-HT4, 5-HT5, 5-HT6 and 5-HT7. Despite their distinct characteristics and functions, these receptors' subtypes share common structural features and signaling mechanisms. Understanding the structure, functions and pharmacology of the serotonin receptor family is essential for unraveling the complexities of serotonin signaling and developing targeted therapeutics for neuropsychiatric disorders. However, developing drugs that selectively target specific receptor subtypes is challenging due to the structural similarities in their orthosteric binding sites. This review focuses on the recent advancements in the structural studies of 5-HT receptors, highlighting the key structural features of each subtype and shedding light on their potential as targets for mental health and neurological disorders (such as depression, anxiety, schizophrenia, and migraine) drugs.

A FOURTH-ORDER FAMILY OF TRIPARAMETRIC EXTENSIONS OF JARRATT'S METHOD

  • Kim, Young Ik
    • Journal of the Chungcheong Mathematical Society
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    • v.25 no.3
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    • pp.579-587
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    • 2012
  • A fourth-order family of triparametric extensions of Jarratt's method are proposed in this paper to find a simple root of nonlinear algebraic equations. Convergence analysis including numerical experiments for various test functions apparently verifies the fourth-order convergence and asymptotic error constants.

ONE-PARAMETER GROUPS AND COSINE FAMILIES OF OPERATORS ON WHITE NOISE FUNCTIONS

  • Chung, Chang-Hoon;Chung, Dong-Myung;Ji, Un-Cig
    • Journal of the Korean Mathematical Society
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    • v.37 no.5
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    • pp.687-705
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    • 2000
  • The main purpose of this paper is to study differentiable one-parameter groups and cosine families of operators acting on white noise functions and their associated infinitesimal generators. In particular, we prove the heredity of differentiable one-parameter group and cosine family of operators under the second quantization of the Cuchy problems for the first and second or der differential equations.

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SUBORDINATIONS BY CERTAIN UNIVALENT FUNCTIONS ASSOCIATED WITH A FAMILY OF LINEAR OPERATORS

  • SEON HYE AN;G. MURUGUSUNDARAMOORTHY;NAK EUN CHO
    • Journal of applied mathematics & informatics
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    • v.41 no.5
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    • pp.1103-1114
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    • 2023
  • The aim of the present paper is to obtain some mapping properties of subordinations by certain univalent functions in the open unit disk associated with a family of linear operators. Moreover, we also consider some applications for integral operators.