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<p>We give several relations among real homogeneous biharmonic polynomials in three real variables of fixed degree together with their partial derivatives. An illustration of the usefulness of such formulas is given in the context of inframonogenic reduced-quaternion valued functions.</p>

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Basis representations of special biharmonic polynomials

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年9月6日

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  • C. Álvarez-Peña,
  • J. Morais,
  • R. M. Porter

摘要

We give several relations among real homogeneous biharmonic polynomials in three real variables of fixed degree together with their partial derivatives. An illustration of the usefulness of such formulas is given in the context of inframonogenic reduced-quaternion valued functions.