Dinesh Kumar

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20212026

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math.DS2026

A survey on permutable transcendental entire functions and their dynamics

Dinesh Kumar

In this paper, we survey important results on the dynamics of permutable transcendental entire functions from 1958 to 2025. We have discussed the forms of transcendental entire fun…

math.DS2026

Results on the postsingular set of compositions of transcendental entire functions

Manisha Kumari, Dinesh Kumar

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$ , where $g = a f^{p} + b$ with $a, b \in C$ , $p \in N$ , and $a \neq = 0, 1$ . We exami…

math.DS2026

Equality of the dynamical sets of two commuting transcendental entire functions

Manisha Kumari, Dinesh Kumar

In this paper, we study the dynamics of commuting transcendental entire functions $f$ and $g$ , where $g$ is of the form $a f^{p} + b$ with $a,b \in \C$, $p \in N$ , and $a \neq = 0, 1$ .…