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math.NT2023
A Bound for Stieltjes Constants
Sebastian Pauli, Filip Saidak
The goal of this note is to improve on the currently available bounds for Stieltjes constants using the method of steepest descent applied by Coffey and Knessl to approximate Stiel…
math.GM2023
Zeros of fractional derivatives of polynomials
Torre Caparatta, Sebastian Pauli, Filip Saidak
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…