Area Estimates of Images of Disks under Analytic Functions

Sahoo, Swadesh Kumar

Please use this identifier to cite or link to this item: https://dspace.iiti.ac.in/handle/123456789/6531

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DC Field	Value	Language
dc.contributor.author	Sahoo, Swadesh Kumar	en_US
dc.date.accessioned	2022-03-17T01:00:00Z	-
dc.date.accessioned	2022-03-21T10:49:44Z	-
dc.date.available	2022-03-17T01:00:00Z	-
dc.date.available	2022-03-21T10:49:44Z	-
dc.date.issued	2021	-
dc.identifier.citation	Arora, V., & Sahoo, S. K. (2021). Area estimates of images of disks under analytic functions. Acta Mathematica Sinica, English Series, 37(10), 1533-1548. doi:10.1007/s10114-021-0437-z	en_US
dc.identifier.issn	1439-8516	-
dc.identifier.other	EID(2-s2.0-85117309557)	-
dc.identifier.uri	https://doi.org/10.1007/s10114-021-0437-z	-
dc.identifier.uri	https://dspace.iiti.ac.in/handle/123456789/6531	-
dc.description.abstract	Let Dr := {z = x + iy ϵ C : \|z\| < r}, r ≤ 1. For a normalized analytic function f in the unit disk D := D1, estimating the Dirichlet integral (Formula presented.)., is an important classical problem in complex analysis. Geometrically, Δ(r, f) represents the area of the image of Dr under f counting multiplicities. In this paper, our main objective is to estimate areas of images of Dr under non-vanishing analytic functions of the form (z/f)μ, μ > 0, in principal powers, when f ranges over certain classes of analytic and univalent functions in Dr. © 2021, Springer-Verlag GmbH Germany & The Editorial Office of AMS.	en_US
dc.language.iso	en	en_US
dc.publisher	Springer Verlag	en_US
dc.source	Acta Mathematica Sinica, English Series	en_US
dc.title	Area Estimates of Images of Disks under Analytic Functions	en_US
dc.type	Journal Article	en_US
Appears in Collections:	Department of Mathematics

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