Relations of the class \(\mathcal{U}(\lambda )\) to other families of functions

DOI10.1007/s40840-022-01265-5zbMath1492.30041arXiv2104.05346OpenAlexW3175841967MaRDI QIDQ2134955

Karl-Joachim Wirths, Saminathan Ponnusamy, Liulan Li

Publication date: 4 May 2022

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2104.05346

zbMATH Keywords

convex functionsclose-to-convex functionsclass of analytic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (3)

An elementary counterexample to a coefficient conjecture ⋮ On integral means for starlike and spiral-like functions ⋮ Hermitian Toeplitz determinants for the class S of univalent functions

Cites Work

• Geometric studies on the class \(\mathcal U(\lambda)\)
• Composition operators and classical function theory
• On harmonic close-to-convex functions
• Univalence and starlikeness of certain transforms defined by convolution of analytic functions
• On the growth of analytic functions in the class \({\mathcal {U}}(\lambda)\)
• On the class of functions convex in the negative direction of the imaginary axis
• New criteria and distortion theorems for univalent functions
• A class of locally univalent functions defined by a differential inequality§
• Criteria for univalence, starlikeness and convexity
• Harmonic univalent functions
• Coefficient problems on the class U(λ)
• The Schwarzian Derivative and Univalent Functions
• Analytic Functions Star-Like in One Direction
• Two theorems on schlicht functions
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