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<p>We prove that every discrete parabolic function defined in the positive quadrant of the Gaussian plane admits an expansion into an absolutely convergent Taylor series with respect to a&#xa0;system of pseudopowers.</p>

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Discrete Parabolic Functions and Taylor Series

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • X. Lu,
  • O. A. Danilov,
  • A. D. Mednykh

摘要

We prove that every discrete parabolic function defined in the positive quadrant of the Gaussian plane admits an expansion into an absolutely convergent Taylor series with respect to a system of pseudopowers.