Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 심희정 | - |
dc.creator | 심희정 | - |
dc.date.accessioned | 2016-08-25T04:08:27Z | - |
dc.date.available | 2016-08-25T04:08:27Z | - |
dc.date.issued | 1997 | - |
dc.identifier.other | OAK-000000026138 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/181125 | - |
dc.identifier.uri | http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000026138 | - |
dc.description.abstract | 본 논문에서는 H.Silverman이 발표한 함수족 C_(p)[α,β)을 공부하고, 그 함수족의 조건 중 볼록함수 φ(z) 대신에 극치함수 □를 대입하여 새로운 함수족 C[φ_(0),α], CS[φ_(0),α]를 구성하고, 이들의 몇가지 기하학적 성질을 증명한다. 또한 starlike 함수족의 부분함수족 R[α]를 소개하고, 이 함수족의 몇가지 성질을 유도한다.;H. Silverman constructed a class C_(p)[α,β] of close-to-convex functions. In this thesis, we study a subclass C[φ_(0),α] of C_(p)[α,β], where φ_(0)(z)=z/1-e^(it)z is the extremal convex function and a subclass CS[φ_(0),α] of close-to-star functions in the unit disk. Moreover, we study the class R[α] with the condition Re[f′(z)+ zf″(z)] > α. In this thesis, we obtain several geometric properties for the classes C[φ_(0),α], CS[φ_(0),α] and R[α] including the distortion theorem, covering theorem and the radius of convexity problem, etc. | - |
dc.description.tableofcontents | ABSTRACT = ⅰ contents = ⅱ Ⅰ. Introduction = 1 Ⅱ. A Subclass C[Φ_(0), α] of Close-to-convex Functions = 4 Ⅲ. A Subclass CS[Φ_(0), α] of Close-to-star Functions = 12 Ⅳ. A Class R[α] of Function for which f´(z)+zf˝(z) has positive real part of order α = 17 REFERENCES = 25 논문초록 = 27 | - |
dc.format | application/pdf | - |
dc.format.extent | 558609 bytes | - |
dc.language | eng | - |
dc.publisher | 이화여자대학교 대학원 | - |
dc.subject | Geometric Properties | - |
dc.subject | Holomorphic Functions | - |
dc.subject | Some Classes | - |
dc.title | Geometric Properties for Some Classes of Holomorphic Functions | - |
dc.type | Master's Thesis | - |
dc.format.page | ii, 27 p. | - |
dc.identifier.thesisdegree | Master | - |
dc.identifier.major | 대학원 수학과 | - |
dc.date.awarded | 1997. 8 | - |