A NOTE ON THE ZEROS OF JENSEN POLYNOMIALS

A NOTE ON THE ZEROS OF JENSEN POLYNOMIALS

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...

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Veröffentlicht in:Journal of the Korean Mathematical Society 2022, Vol.59 (4), p.775-787
Hauptverfasser: Kim, Young-One, Lee, Jungseob
Format: Artikel
Sprache:kor
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Zusammenfassung: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.
ISSN:0304-9914