Scholarlink

<p>In this paper, we introduce the convolutions of Bessel and Tricomi functions with Hermite matrix polynomials. We derive generating functions and series definitions of the resultant Hermite-Bessel matrix functions and Hermite-Tricomi matrix functions. Also, some properties like recurrence relations, umbral definitions and operational representations for these special matrix functions are obtained. The implications of Ramanujan Master Theorem for the newly introduced hybrid special matrix functions are discussed in this paper. Several new special functions for suitable values of indices and variables are considered. Some concluding remarks are given.</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

Implication of Ramanujan master theorem to the convolution of bessel and tricomi functions with hermite matrix polynomials

  • 期刊论文

  • 发表日期：

    2026年6月23日

查看全文
  • Umme Zainab,
  • Nusrat Raza

摘要

In this paper, we introduce the convolutions of Bessel and Tricomi functions with Hermite matrix polynomials. We derive generating functions and series definitions of the resultant Hermite-Bessel matrix functions and Hermite-Tricomi matrix functions. Also, some properties like recurrence relations, umbral definitions and operational representations for these special matrix functions are obtained. The implications of Ramanujan Master Theorem for the newly introduced hybrid special matrix functions are discussed in this paper. Several new special functions for suitable values of indices and variables are considered. Some concluding remarks are given.