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pro vyhledávání: '"Ghora, Subhasis"'
It is proved that the Chebyshev's method applied to an entire function $f$ is a rational map if and only if $f(z) = p(z) e^{q(z)}$, for some polynomials $p$ and $q$. These are referred to as rational Chebyshev maps, and their fixed points are discuss
Externí odkaz:
http://arxiv.org/abs/2411.11290
Autor:
Ghora, Subhasis
Dynamics of an one-parameter family of functions $f_\lambda(z)=\lambda + z+\tan z, z \in \mathbb{C}$ and $\lambda \in \mathbb{C}$ with an unbounded set of singular values is investigated in this article. For $|2+\lambda^2|<1$, $\lambda=i$, $2+\lambda
Externí odkaz:
http://arxiv.org/abs/2208.05661
Autor:
Ghora, Subhasis, Nayak, Tarakanta
Iteration of the function $f_\lambda(z)=\lambda + z+\tan z, z \in \mathbb{C}$ is investigated in this article. It is proved that for every $\lambda$, the Fatou set of $f_\lambda$ has a completely invariant Baker domain $B$; we call it the primary Fat
Externí odkaz:
http://arxiv.org/abs/2106.02832
Autor:
Ghora, Subhasis, Nayak, Tarakanta
A Baker omitted value, in short \textit{bov} of a transcendental meromorphic function $f$ is an omitted value such that there is a disk $D$ centered at the bov for which each component of the boundary of $f^{-1}(D)$ is bounded. Assuming all the itera
Externí odkaz:
http://arxiv.org/abs/2101.01951
An omitted value of a transcendental meromorphic function $f$ is called a Baker omitted value, in short \textit{bov} if there is a disk $D$ centered at the bov such that each component of the boundary of $f^{-1}(D)$ is bounded. Assuming that the bov
Externí odkaz:
http://arxiv.org/abs/2008.09797
Autor:
Ghora, Subhasis, Nayak, Tarakanta
Possible periods of Herman rings are studied for general meromorphic functions with at least one omitted value. A pole is called $H$-relevant for a Herman ring $H$ of such a function $f$ if it is surrounded by some Herman ring of the cycle containing
Externí odkaz:
http://arxiv.org/abs/2007.07036
Autor:
Ghora, Subhasis
Publikováno v:
The Journal of Analysis; December 2024, Vol. 32 Issue: 6 p3125-3138, 14p
Publikováno v:
Journal of Dynamics & Differential Equations; Sep2023, Vol. 35 Issue 3, p2621-2639, 19p
Autor:
Ghora, Subhasis
Dynamics of an one-parameter family of functions $f_λ(z)=λ+ z+\tan z, z \in \mathbb{C}$ and $λ\in \mathbb{C}$ with an unbounded set of singular values is investigated in this article. For $|2+λ^2|0$ for all $z\in W$ and $dist(f^n_{λ+mπ}(z),f^n_
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7496f432c4035864262616f185a01517
Autor:
Ghora, Subhasis, Nayak, Tarakanta
Iteration of the function $f_λ(z)=λ+ z+\tan z, z \in \mathbb{C}$ is investigated in this article. It is proved that for every $λ$, the Fatou set of $f_λ$ has a completely invariant Baker domain $B$; we call it the primary Fatou component. The res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cf045550a48408847e1fc66dad6e2c3