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<p>This paper aims to study the periodicity of a transcendental entire function of hyper-order less than one. For a transcendental entire function of hyper order less than one and a non-zero complex constant <i>c</i>, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathfrak {f} (z) \equiv \mathfrak {f} (z + c)\)</EquationSource> </InlineEquation> if they share a certain set with weight two.</p>

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Periodicity of transcendental entire functions sharing set with their shifts

  • 期刊论文

  • 发表日期：

    2026年4月28日

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  • Soumon Roy,
  • Ritam Sinha

摘要

This paper aims to study the periodicity of a transcendental entire function of hyper-order less than one. For a transcendental entire function of hyper order less than one and a non-zero complex constant c, \(\mathfrak {f} (z) \equiv \mathfrak {f} (z + c)\) if they share a certain set with weight two.