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Une propriété de convexité généralisée dans la théorie de la représentation conforme
- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
- Subject
- Mathematics; Mathematics, general; Ordinary Differential Equations; Actuarial Sciences; Number Theory; Probability Theory and Stochastic Processes
- ISSN
- 0363-1672
- eISSN
- 1573-8825
- DOI
- 10.1007/s10986-018-9397-0
- Publisher site
- See Article on Publisher Site
Abstract
Let S denote the class of analytic univalent functions in 𝔻:= {z ϵ ℂ: |z| < 1} normalized so that f z = z + ∑ n = 2 ∞ a n z n . $$ f(z)=z+{\sum}_{n=2}^{\infty }{a}_n{z}^n. $$ Let C and S ∗ be the subclasses of S consisting of convex and starlike functions, respectively. For real α, the class M α of alpha-convex functions f ∈ S defined by
Journal
Lithuanian Mathematical Journal – Springer Journals
Published: Jun 2, 2018