Maximal area integral problem for certain class of univalent analytic functions

DOI10.1007/s00009-015-0521-7zbMath1359.30025arXiv1407.5454OpenAlexW3101712245MaRDI QIDQ277005

Swadesh Kumar Sahoo, Navneet Lal Sharma, Saminathan Ponnusamy

Publication date: 4 May 2016

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5454

zbMATH Keywords

convex functionsDirichlet integralJanowski star-like functionsspiral-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) General theory of univalent and multivalent functions of one complex variable (30C55)

Related Items (6)

INTEGRAL MEANS AND MAXIMUM AREA INTEGRAL PROBLEMS FOR CERTAIN FAMILY OF p-VALENT FUNCTIONS ⋮ On a subfamily of starlike functions related to hyperbolic cosine function ⋮ Area estimates of images of disks under analytic functions ⋮ Approximation of certain non-vanishing analytic functions in a parabolic region ⋮ Area problem for univalent functions in the unit disk with quasiconformal extension to the plane ⋮ Integral means and Yamashita's conjecture associated with the Janowski type \((j, k)\)-symmetric starlike functions

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