Full metadata record
DC Field | Value | Language |
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dc.contributor.author | 정계선 | - |
dc.creator | 정계선 | - |
dc.date.accessioned | 2016-08-26T02:08:10Z | - |
dc.date.available | 2016-08-26T02:08:10Z | - |
dc.date.issued | 1990 | - |
dc.identifier.other | OAK-000000000715 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/192313 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000000715 | - |
dc.description.abstract | F_α,ρ를 α-spiral function of order ρ인 함수족이라 하자. 본 논문에서는 F_α,ρ의 closed convex hull의 극치점들을 찾아내고 이들을 이용하여 F_α,ρ에 속하는 함수 f(z)의 계수문제를 해결하고 |f(z)|와 |f (z)|의 상계를 구하였다. 그리고 F_α,ρ에 속하는 함수에 의하여 majorized 되는 함수와 subordinate 되는 함수의 계수문제들을 해결하였다. 또한 zf (z)이 함수족 F_α,ρ에 속하는 해석적이고 univalent한 함수 f(z)에 대하여 Re LEFT{ f(z) over z RIGHT}의 하계도 찾아내었다. ; Let F_α,ρ denote the class of α-spiral functions of order ρ. We obtain the extreme points of the closed convex hull of F_α,ρ. Using these extreme points of DF_α,ρ, we give short proofs for coefficient inequalities and distortion bounds for functions in F_α,ρ. We find the upper bounds for the coefficients of functions that are majorized by some function in F_α,ρ. Also, the coefficient estimates for functions which are subordinate to some function in F_α,ρ are given. Moreover, we establish the lower bound of Re LEFT{ f(z) over z RIGHT} where f(z) is regular, univalent in the unit disk for which zf (z)∈F_α,ρ. | - |
dc.description.tableofcontents | ABSTRACT ------------------------------------------------------------- ⅰ TABLE OF CONTENTS ---------------------------------------------------- ⅱ 0. INTRODUCTION ------------------------------------------------------ 1 Ⅰ. PRELIMINARY RESULTS ---------------------------------------------- 5 Ⅱ. THE CONVEX HULLS AND EXTREME POINTS OF F_α,ρ AND S_α,ρ ------- 9 Ⅲ. COEFFICIENT BOUNDS AND DISTORTION THEOREMS FOR FUNCTIONS OF F_α,ρ --------------------------------------------- 13 Ⅳ. COEFFICIENT ESTIMATES FOR FUNCTIONS MAJORIZED BY SOME FUNCTION IN F_α,ρ -------------------------------------- 17 Ⅴ. COEFFICIENT ESTIMATES FOR FUNCTIONS WHICH ARE SUBORDINATE TO SOME FUNCTION IN F_α,ρ ---------------------- 23 Ⅵ. MAPPING PROPERTY OF FUNCTIONS f(z) FOR WHICH zf (z)∈F_α,ρ -------------------------------------------------- 27 REFERENCES ----------------------------------------------------------- 30 논문초록 | - |
dc.format | application/pdf | - |
dc.format.extent | 901082 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.title | Extreme points of class of spiral functions and its application | - |
dc.type | Doctoral Thesis | - |
dc.identifier.thesisdegree | Doctor | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1990. 8 | - |