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<p>We study the family <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(e^{az}+e^{\overline{a} z} +1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>e</mi> <mrow> <mi mathvariant="italic">az</mi> </mrow> </msup> <mo>+</mo> <msup> <mi>e</mi> <mrow> <mover> <mi>a</mi> <mo>¯</mo> </mover> <mi>z</mi> </mrow> </msup> <mo>+</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> of entire functions for complex parameters <i>a</i>. Unveiled are their zero sets and symmetry properties.</p>

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Zero Sets of a Sum of Exponential Functions

  • 期刊论文

  • 发表日期：

    2025年5月13日

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  • Raymond Mortini,
  • Peter Pflug,
  • Rudolf Rupp

摘要

We study the family \(e^{az}+e^{\overline{a} z} +1\) e az + e a ¯ z + 1 of entire functions for complex parameters a. Unveiled are their zero sets and symmetry properties.