Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 성맹희 | - |
dc.creator | 성맹희 | - |
dc.date.accessioned | 2016-08-25T04:08:36Z | - |
dc.date.available | 2016-08-25T04:08:36Z | - |
dc.date.issued | 1992 | - |
dc.identifier.other | OAK-000000022779 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/180732 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000022779 | - |
dc.description.abstract | For any normalized univalent analytic functions f∈S, the sharp estimate of M_(p)(r,f(^(n)))=〔1/2π□│f(^(n))(re^(1)θ)│^(p)dθ)^(1/p)〕 is unknown in general. In this thesis, we study this problem for the case when f is close-to-convex function in │z│<1, for 0<p<∞. In particular, we solve several problems contained in "Univalent functions" by P. L. Duren in connection with integral means for derivative of regular univalent functions. ;정규화된 단엽함수 f 에 대하여 M_(p)(r, f^(n) = {□ ∫^(2n)_(0)|f^((n))(re^(i)θ)|^(p) dθ}^(1/p) 의 정확한 측정치는 일반적으로 알려져 있지 않다. 이 논문에서 우리는 close-to-convex function 에 대한 위 문제를 연구하고, 특히, P.L. Duren 의 "Univalent function" 에 포함되어 있는 몇 가지 문제를 알아본다. | - |
dc.description.tableofcontents | ABSTRACT = ⅰ CONTENTS = ⅱ Ⅰ. INTRODUCTION = 1 Ⅱ. ESTIMATE ON INTEGRAL MEANS FOR P≥1. = 4 Ⅲ. ESTIMATE ON INTEGRAL MEANS FOR 0<p<1. = 12 Ⅳ. APPLICATIOS ON INTEGRAL MEANS. = 18 REFERENCES = 32 논문초록 = 34 | - |
dc.format | application/pdf | - |
dc.format.extent | 639831 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | estimate | - |
dc.subject | integral means | - |
dc.subject | derivatives | - |
dc.subject | close-to-convex | - |
dc.title | Estimate on integral means for derivatives of close-to-convex functions | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 34 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1992. 2 | - |