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Sign regularity of Maclaurin coefficients of functions in the Laguerre–Pólya class

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Abstract

We prove that the signs of the Maclaurin coefficients of a wide class of entire functions that belong to the Laguerre–Pólya class possess a regular behaviour.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada IBILCE, Universidade Estadual Paulista, 15054-000, Sa˜õ José do Rio Preto, SP, Brazil

    Dimitar K. Dimitrov & Willian D. Oliveira

Authors
  1. Dimitar K. Dimitrov
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  2. Willian D. Oliveira
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Corresponding author

Correspondence to Dimitar K. Dimitrov.

Additional information

Research supported by by the Brazilian foundations CNPq under Grant 306136/2017-1 and FAPESP under Grants 2013/14881-9 and 2016/09906-0.

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Dimitrov, D.K., Oliveira, W.D. Sign regularity of Maclaurin coefficients of functions in the Laguerre–Pólya class. JAMA 137, 897–911 (2019). https://doi.org/10.1007/s11854-019-0016-8

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  • DOI: https://doi.org/10.1007/s11854-019-0016-8

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