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<p>The reversed polynomial sequence of a given Appell sequence fulfils a differential-recurrence relation. This relation is analyzed from the viewpoint of the quadratic decomposition. Several differential identities fulfilled by the polynomial components of the quadratic decomposition are established. A generalized hypergeometric representation is also considered.</p>

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A NOTE ON THE QUADRATIC DECOMPOSITION OF A REVERSED POLYNOMIAL SEQUENCE

  • 期刊论文

  • 发表日期：

    2025年5月1日

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  • T. A. Mesquita

摘要

The reversed polynomial sequence of a given Appell sequence fulfils a differential-recurrence relation. This relation is analyzed from the viewpoint of the quadratic decomposition. Several differential identities fulfilled by the polynomial components of the quadratic decomposition are established. A generalized hypergeometric representation is also considered.