Zobrazeno 1 - 10
of 176
pro vyhledávání: '"Pal, Soumen"'
Autor:
Nayak, Tarakanta, Pal, Soumen
By a symmetry of the Julia set of a polynomial, also referred as polynomial Julia set, we mean an Euclidean isometry preserving the Julia set. Each such symmetry is in fact a rotation about the centroid of the polynomial. In this article, a survey of
Externí odkaz:
http://arxiv.org/abs/2402.07137
Autor:
Nayak, Tarakanta, Pal, Soumen
Let $p$ be a normalized (monic and centered) quartic polynomial with non-trivial symmetry groups. It is already known that if $p$ is unicritical, with only two distinct roots with the same multiplicity or having a root at the origin then the Julia se
Externí odkaz:
http://arxiv.org/abs/2309.07562
Autor:
Nayak, Tarakanta, Pal, Soumen
The set of all holomorphic Euclidean isometries preserving the Julia set of a rational map $R$ is denoted by $\Sigma R$. It is shown in this article that if a root-finding method $F$ satisfies the Scaling theorem, i.e., for a polynomial $p$, $F_p$ is
Externí odkaz:
http://arxiv.org/abs/2208.11322
Publikováno v:
In Journal of Advanced Research October 2024 64:143-154
Autor:
Bhattacharya, Manojit, Pal, Soumen, Chatterjee, Srijan, Lee, Sang-Soo, Chakraborty, Chiranjib
Publikováno v:
In Molecular Therapy - Nucleic Acids 10 September 2024 35(3)
Autor:
Nayak, Tarakanta, Pal, Soumen
Given a polynomial $p$, the degree of its Chebyshev's method $C_p$ is determined. If $p$ is cubic then the degree of $C_p$ is found to be $4,6$ or $7$ and we investigate the dynamics of $C_p$ in these cases. If a cubic polynomial $p$ is unicritical o
Externí odkaz:
http://arxiv.org/abs/2201.11055
Autor:
Bhattacharya, Manojit, Pal, Soumen, Chatterjee, Srijan, Alshammari, Abdulrahman, Albekairi, Thamer H., Jagga, Supriya, Ige Ohimain, Elijah, Zayed, Hatem, Byrareddy, Siddappa N., Lee, Sang-Soo, Wen, Zhi-Hong, Agoramoorthy, Govindasamy, Bhattacharya, Prosun, Chakraborty, Chiranjib
Publikováno v:
In Current Research in Biotechnology 2024 7
Publikováno v:
In Current Research in Biotechnology 2024 7
Autor:
Nayak, Tarakanta, Pal, Soumen
The dynamics of all quadratic Newton maps of rational functions are completely described. The Julia set of such a map is found to be either a Jordan curve or totally disconnected. It is proved that no Newton map with degree at least three of any rati
Externí odkaz:
http://arxiv.org/abs/2004.06899
Autor:
Chakraborty, Chiranjib, Bhattacharya, Manojit, Saha, Abinit, Alshammari, Abdulrahman, Alharbi, Metab, Saikumar, G., Pal, Soumen, Dhama, Kuldeep, Lee, Sang-Soo
Publikováno v:
In Journal of Infection and Public Health July 2023 16(7):1048-1056