## Cauchy-Euler differential equation a b s t r a c t In this paper, the authors prove several coefficient bounds, distortion inequalities of the class S n g (p, Ξ», b, Ξ²) of p-valent analytic functions of complex order. By making use of the familiar concept of neighborhoods of p-valent analytic fun
Neighborhoods of certain analytic functions
β Scribed by Shigeyoshi Owa; Hitoshi Saitoh; Mamoru Nunokawa
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 279 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0893-9659
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β¦ Synopsis
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).
π SIMILAR VOLUMES
In the present investigation, by making use of the familiar concept of neighborhoods of analytic and multivalent functions, we derive coefficient bounds and distortion inequalities, associated inclusion relations for the (n, Ξ΄)-neighborhoods of subclasses of analytic and multivalent functions with n
## Abstract Let __h__(__z__) = __z__ + __a__~2~__z__^2^ + β β β be analytic in the unit disc \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}${\cal U}$\end{document} on the complex plane \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbf {