대한수학회지 (Journal of the Korean Mathematical Society)

  • 제59권4호
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  • Pages.775-787
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  • 2022
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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A NOTE ON THE ZEROS OF JENSEN POLYNOMIALS

  • Kim, Young-One (Department of Mathematical Sciences and Research Institute of Mathematics Seoul National University) ;
  • Lee, Jungseob (Department of Mathematics Ajou University)
  • 투고 : 2021.10.08
  • 심사 : 2021.12.31
  • 발행 : 2022.07.01
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초록

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.

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참고문헌

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