Differential inequalities for certain analytic functions
β Scribed by Mamoru Nunokawa; Nak Eun Cho; Oh Sang Kwon; Shigeyoshi Owa; Hitoshi Saitoh
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 388 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
β¦ Synopsis
The purpose of the present paper is to derive some differential inequalities for certain analytic functions in the open unit disk by appealing to a result obtained by the first author.
π SIMILAR VOLUMES
several useful results of certain inequalities dealing with analytic and univalent functions are obtained and then certain consequences of them are also indicated.
Two subclasses Pn(cy) and Q,(a) of certain analytic functions in the open unit disk II are introduced. For p(z) E P,(a) and 6, ) 0, the &-neighborhood N6.. (p(z)) of p(z) is defined. For J'TL(~), &n(a), and N~,,'(P(z)),' we prove that if p(z) E Q:(a), then Nci\_p'.6, (p(z)) c ~~(a).