J. Korean Math. Soc.
Published online April 5, 2022
Copyright © The Korean Mathematical Society.
Young-One Kim and 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: 30C15, 30D15
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