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In this paper, we develop novel formulas for the \(\textbf{N}_{2}^{\alpha }\) -function using Akel’s \(\mathcal {M}\) -transform. By substituting into our primary findings, we identify both familiar and previously undiscovered results, which we present as special cases in our corollaries. Our work builds upon and generalizes findings from recent publications.

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Some Novel Results for the  \(\mathcal {M}\) -Transform Including \(\textrm{N}_{2}^{\alpha }\) -Function

  • 会议论文

  • 发表日期：

    2025年

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  • Suresh Chand Meena,
  • Pinky Lata,
  • Manisha Meena,
  • Mridula Purohit

摘要

In this paper, we develop novel formulas for the \(\textbf{N}_{2}^{\alpha }\) -function using Akel’s \(\mathcal {M}\) -transform. By substituting into our primary findings, we identify both familiar and previously undiscovered results, which we present as special cases in our corollaries. Our work builds upon and generalizes findings from recent publications.