Zeros of fractional derivatives of polynomials
Torre Caparatta, Sebastian Pauli, Filip Saidak
TL;DR
This paper studies the zeros of fractional derivatives of polynomials, focusing on their locations, asymptotic behavior, and bounds for Mahler measure, providing insights into their complex structure.
Contribution
It offers new analysis on the zeros of fractional derivatives of polynomials, including their asymptotic distribution and bounds for Mahler measure.
Findings
Zeros' locations and asymptotic behavior characterized
Bounds established for Mahler measure of fractional derivatives
Insights into complex structure of fractional derivatives' zeros
Abstract
We investigate the behavior of fractional derivatives of polynomials. In particular, we consider the locations and the asymptotic behaviour of their zeros and give bounds for their Mahler measure.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematical functions and polynomials · Analytic and geometric function theory