Treffer: Univalence of Derivatives of Functions Defined by Gap Power Series: Univalence of derivatives of functions defined by gap power series. II
Title:
Univalence of Derivatives of Functions Defined by Gap Power Series: Univalence of derivatives of functions defined by gap power series. II
Authors:
Source:
Journal of the London Mathematical Society. :501-512
Publisher Information:
Wiley, 1975.
Publication Year:
1975
Subject Terms:
Representations of entire functions of one complex variable by series and integrals, Applied Mathematics, General theory of univalent and multivalent functions of one complex variable, Special classes of entire functions of one complex variable and growth estimates, 0101 mathematics, 01 natural sciences, Power series (including lacunary series) in one complex variable, Analysis
Document Type:
Fachzeitschrift
Article
File Description:
application/xml
Language:
English
ISSN:
0024-6107
DOI:
10.1112/jlms/s2-9.3.501
DOI:
10.1016/0022-247x(76)90005-6
Access URL:
Rights:
Wiley Online Library User Agreement
Elsevier Non-Commercial
Elsevier Non-Commercial
Accession Number:
edsair.doi.dedup.....1a9f9b3438bd09dff79c73c84c8c4370
Database:
OpenAIRE
Weitere Informationen
In this paper, we continue our work in [9] on the univalence of derivatives of functions defined by gap power series. We consider regular functions, f, defined in some region containing 0, and denote by pn and pJc> the radius of univalence and the radius of convexity, respectively, off@). For ease of notation, we shall sometimes write pn = p(n). Earlier, we considered functions defined by power series with gaps of at least a certain length. By that we meant the following: Suppose F(z) = Cj”=, Aizj. Then F is defined by a power series with gaps at least of length K provided that K is a nonnegative integer such that, if A, # 0 for some n, then Ancj = 0 for 1 < j < K. We proved the following [9].