Geometric studies on the class \(\mathcal U(\lambda)\)
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Publication:310745
DOI10.1007/s40840-015-0263-5zbMath1348.30009arXiv1503.02451OpenAlexW2276893634MaRDI QIDQ310745
Karl-Joachim Wirths, Saminathan Ponnusamy, Obradović, Milutin
Publication date: 8 September 2016
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/1503.02451
Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)
Related Items (31)
Sharp bounds for initial coefficients and the second Hankel determinant ⋮ Coefficients of the inverse of functions for the subclass of the class \(\mathcal{U} (\lambda)\) ⋮ Relations of the class \(\mathcal{U}(\lambda )\) to other families of functions ⋮ On a class of univalent functions defined by a differential inequality ⋮ Logarithmic coefficients of the inverse of univalent functions ⋮ On a conjecture for the fifth coefficients for the class ${\mathcal U}(\lambda)$ ⋮ Logarithmic coefficients and a coefficient conjecture for univalent functions ⋮ On a subclass of analytic functions satisfying a differential inequality ⋮ Sharp initial coefficient bounds and the Fekete-Szegő problem for some subclasses of analytic and bi-univalent functions ⋮ On the Taylor coefficients of a subclass of meromorphic univalent functions ⋮ An elementary counterexample to a coefficient conjecture ⋮ The Zalcman conjecture for certain analytic and univalent functions ⋮ On integral means for starlike and spiral-like functions ⋮ Unnamed Item ⋮ On a subclass of meromorphic univalent functions ⋮ Bohr phenomenon for subordinating families of certain univalent functions ⋮ A class of univalent functions with real coefficients ⋮ Area estimates of images of disks under analytic functions ⋮ Univalent and starlike properties for generalized Struve function ⋮ On relations between the classes \(\mathcal {S}\) and \(\mathcal {U}\) ⋮ Sufficient conditions for univalence and study of a class of meromorphic univalent functions ⋮ Fekete-Szegö problem for some subclasses of bi-univalent functions ⋮ Elementary considerations for classes of meromorphic univalent functions ⋮ On classes of meromorphic locally univalent functions defined by differential inequalities ⋮ Differential inequalities and univalent functions ⋮ Coefficient problems on the class U(λ) ⋮ Loewner chain and quasiconformal extension of some classes of univalent functions ⋮ Bohr phenomenon for locally univalent functions and logarithmic power series ⋮ Hankel determinants of second and third order for the class \(\mathcal{S}\) of univalent functions ⋮ On logarithmic coefficients of certain starlike functions related to the vertical strip ⋮ Hermitian Toeplitz determinants for the class S of univalent functions
Cites Work
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- Second-order differential subordination for analytic functions with fixed initial coefficient
- The \(\mathcal{U}\)-radius for classes of analytic functions
- On some classes of first-order differential subordinations
- Differential subordinations and univalent functions
- Univalence and starlikeness of certain transforms defined by convolution of analytic functions
- Coefficient characterization for certain classes of univalent functions
- On the growth of analytic functions in the class \({\mathcal {U}}(\lambda)\)
- 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
- Starlikeness and Certain Class of Rational Functions
- A Remark on Löwner's Theorem
- Radius properties for subclasses of univalent functions
- On the Coefficients of Subordinate Functions
- Two theorems on schlicht functions
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