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

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6 papers · 1 filter

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.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.CV2024

Sum of the exponential and a polynomial: Singular values and Baker wandering domains

Sukanta Das, Tarakanta Nayak

This article studies the singular values of entire functions of the form $E^{k} (z) + P (z)$ where $E^{k}$ denotes the $k -$ times composition of $e^{z}$ with itself and $P$ is any non-consta…

math.CV2020

Quadratic and cubic Newton maps of rational functions

Tarakanta Nayak, Soumen Pal

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.…

math.CV2020

The real non-attractive fixed point conjecture and beyond

Rajen Kumar, Tarakanta Nayak

Is it always true that every polynomial P with the degree at least two has a fixed point z0, the real part of whose multiplier is bigger than or equal to 1, i.e., Real part of (P'(…

math.CV2012★ 15 cited

Omitted values and dynamics of meromorphic functions

Tarakanta Nayak, Jian-Hua Zheng

Let $M$ be the class of all transcendental meromorphic functions $f : C \to C ⋃ {\infty}$ with at least two poles or one pole that is not an omitted value,…