Tarakanta Nayak

activity

20122026

most citedOmitted values and dynamics of meromorphic functions

15 citations · 17 across the 17 of their papers we have counts for

collaborators

23 papers

math.CV2026

Exponential polynomials with Baker omitted value

Sukanta Das, Subhasis Ghora, Tarakanta Nayak

We consider exponential polynomials of the form $F_{l} (z) = P_{1} (z) exp (Q_{1} (z)) + P_{2} (z) exp (Q_{2} (z)) + \dots + P_{l - 1} (z) exp (Q_{l - 1} (z)) + P_{l} (z)$ , where $l \geq 2$ , each $Q_{i}$ is a non-constan…

math.DS2026

Chebyshev's method applied to polynomials with rotational symmetry

Tarakanta Nayak, Pooja Phogat

We investigate the dynamics of Chebyshev's method applied to the polynomial family $p_{n} (z) = z (z^{n} - 1)$ for $n > 1$ . The resulting map is denoted by $C_{n}$ . It is proved that the immedia…

math.DS2026

A Survey of Baker Wandering Domains

Sukanta Das, Tarakanta Nayak

Let $f : C \to C = C \cup {\infty}$ be a transcendental meromorphic function (possibly without any pole) with a single essential singularity, and that…

math.CV2025

Herman Rings: Structure, Dynamics, and Open Problems

Gorachand Chakraborty, Subhasis Ghora, Tarakanta Nayak

The existence of the Herman ring of a function adds interest and complexity to the dynamics of the function. We present a detailed and understandable summary of the core discoverie…

math.DS2025

Chebyshev's method applied to polynomials with two distinct roots

Tarakanta Nayak, Pooja Phogat

The Julia set of the Chebyshev's method applied to polynomials with exactly two distinct roots is shown to be connected, and its Fatou set is proved to be the union of attracting b…

math.CO2025

Connectedness of independence attractors of graphs with independence number three

Moumita Manna, Tarakanta Nayak

An independent set in a simple graph $G$ is a set of pairwise non-adjacent vertices in $G$ . The independence polynomial of $G$ , denoted by $I_{G}$ is defined as $1 + a_1 z + a_2 z^2+…