J. Korean Math. Soc. 2022; 59(4): 775-787
Online first article April 5, 2022 Printed July 1, 2022
https://doi.org/10.4134/JKMS.j210622
Copyright © The Korean Mathematical Society.
Young-One Kim, Jungseob Lee
Seoul National University; Ajou University
Sufficient conditions for the Jensen polynomials of the derivatives of a real entire function to be hyperbolic are obtained. The conditions are given in terms of the growth rate and zero distribution of the function. As a consequence some recent results on Jensen polynomials, relevant to the Riemann hypothesis, are extended and improved.
Keywords: Zeros of polynomials and entire functions, Jensen polynomials, Riemann hypothesis
MSC numbers: Primary 30C15, 30D15
Supported by: The first author was supported by the SNU Mathematical Sciences Division for Creative Human Resources Development.
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