Scholarlink

<p>We propose a general class of matrix <i>q</i>-polynomials suggested by a general class of <i>q</i>-polynomials such as the generalized <i>q</i>-Humbert polynomial, <i>q</i>-Kinney polynomial, etc. We establish the matrix inverse pair for the proposed matrix <i>q</i>-polynomials for which we deduce the generating matrix functions and summation formulas. Interestingly, certain Riordan’s <i>q</i>-inverse pairs also assume matrix extension from our general inverse matrix pairs.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

A general matrix q-inversion pair and associated polynomials-I

  • 期刊论文

  • 发表日期：

    2025年12月15日

查看全文
  • Manokamana Agarwal,
  • Reshma Sanjhira

摘要

We propose a general class of matrix q-polynomials suggested by a general class of q-polynomials such as the generalized q-Humbert polynomial, q-Kinney polynomial, etc. We establish the matrix inverse pair for the proposed matrix q-polynomials for which we deduce the generating matrix functions and summation formulas. Interestingly, certain Riordan’s q-inverse pairs also assume matrix extension from our general inverse matrix pairs.