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<p>This article aims to study the various characteristics of the <i>q</i>-Macdonald function and, we are interested in presenting new results linked to it. This function is related to Jackson’s third <i>q</i>-Bessel function, just as in the classical case. We present some <i>q</i>-integral representation of this function as their <i>q</i>-Mellin transform.</p>

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On the q-Macdonald function

  • 期刊论文

  • 发表日期：

    2025年3月21日

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  • Lazhar Dhaouadi,
  • Saidani Islem

摘要

This article aims to study the various characteristics of the q-Macdonald function and, we are interested in presenting new results linked to it. This function is related to Jackson’s third q-Bessel function, just as in the classical case. We present some q-integral representation of this function as their q-Mellin transform.