Zobrazeno 1 - 10
of 188
pro vyhledávání: '"30C45, 30C50"'
Autor:
Mandal, Rajib, Biswas, Raju
Let $\mathcal{H}$ be the space of all functions that are analytic in $\mathbb{D}$. Let $\mathcal{A}$ denote the family of all functions $f\in\mathcal{H}$ and normalized by the conditions $f(0)=0=f'(0)-1$. In 2011, Obradovi\'{c} and Ponnusamy introduc
Externí odkaz:
http://arxiv.org/abs/2411.04235
In this paper, we derive the sharp improved versions of Bohr-type inequalities for the Ces\'aro operator acting on the class of bounded analytic functions defined on the unit disk $\D=\left\{z\in\C:\left|z\right|<1\right\}$. In order to achieve these
Externí odkaz:
http://arxiv.org/abs/2411.01437
In this paper, we derive the sharp Bohr type inequality for the Ces\'aro operator, Bernardi integral operator, and discrete Fourier transform acting on the class of bounded analytic functions defined on shifted disks \beas \Omega_{\gamma}=\left\{z\in
Externí odkaz:
http://arxiv.org/abs/2411.01674
In this paper, we define a subclass of sense-preserving harmonic functions associated with a class of analytic functions satisfying a differential inequality. We then establish a close relation between both subclasses. Further, we obtain some charact
Externí odkaz:
http://arxiv.org/abs/2406.13311
In this paper, we first obtain a refined Bohr radius for invariant families of bounded analytic functions on unit disk $ \mathbb{D} $. Then, we obtain Bohr inequality for certain integral transforms, namely Fourier (discrete) and Laplace (discrete) t
Externí odkaz:
http://arxiv.org/abs/2405.04040
Autor:
Obradović, Milutin, Tuneski, Nikola
It is well-known that the condition ${\operatorname{Re}} \left[1+\frac{zf''(z)}{f'(z)}\right]>0$, $z\in{\mathbb D}$, implies that $f$ is starlike function (i.e. convexity implies starlikeness). If the previous condition is not satisfied for every $z\
Externí odkaz:
http://arxiv.org/abs/2405.07997
Let $ \mathcal{H}(\Omega) $ be the class of complex-valued functions harmonic in $ \Omega\subset\mathbb{C} $ and each $f=h+\overline{g}\in \mathcal{H}(\Omega)$, where $ h $ and $ g $ are analytic. In the study of Bohr phenomenon for certain class of
Externí odkaz:
http://arxiv.org/abs/2402.11808
Autor:
Obradović, Milutin, Tuneski, Nikola
In this paper, we give sharp bounds of the difference of the moduli of the second and the first logarithmic coefficient for the functions on the class $\mathcal U$, for the $\alpha$-convex functions, and for the class $\mathcal{G}(\alpha)$ introduced
Externí odkaz:
http://arxiv.org/abs/2404.01303
Our objective is to usher and investigate the subclass$\widetilde{\mathcal{S^{*}_{\sum}}}^{\eta}_{q}(\mu,\lambda;\phi)$ of the function class $\sum$ of analytic and bi-univalent functions related with the symmetric $q$-derivative operator and the gen
Externí odkaz:
http://arxiv.org/abs/2312.09617
Autor:
Obradovic, Milutin, Tuneski, Nikola
In this paper we give simple proofs for the bounds (some of them sharp) of the difference of the moduli of the second and the first logarithmic coefficient for the general class of univalent functions and for the class of convex univalent functions.
Externí odkaz:
http://arxiv.org/abs/2311.09901