INTEGRAL MEANS AND DIRICHLET INTEGRAL FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS

DOI10.1017/S1446788715000154zbMath1333.30010OpenAlexW2607308542MaRDI QIDQ3458366

Md Firoz Ali, Allu Vasudevarao

Publication date: 18 December 2015

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788715000154

zbMATH Keywords

subordinationstar-like functionsextremal prpblems

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70)

Related Items (3)

On integral means for starlike and spiral-like functions ⋮ Unnamed Item ⋮ Integral means and Yamashita's conjecture associated with the Janowski type \((j, k)\)-symmetric starlike functions

Cites Work

• A proof of Yamashita's conjecture on area integral
• On the geometry of Hele-Shaw flows with small surface tension
• Univalent functions in two-dimensional free boundary problems
• On integral means of star-like functions
• On Meromorphic Schlicht Functions
• On Starlike and Convex Schlicht Functions
• Area and length maxima for univalent functions
• K-Fold symmetric starlike univalent functions
• Integral means and Dirichlet integral for analytic functions
• Univalent α-Spiral Functions
• Quasi-subordination and coefficient conjectures
• On the theory of univalent functions

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