Affiliation:
1. Pakistan Academy of Sciences, 3 Constitution Avenue, G-5/2, Islamabad 44000, Pakistan
Abstract
In this paper, it is noted that three apparently disparate areas of mathematics—singularity analysis, complex symmetry analysis and the distributional representation of special functions—have a basic commonality in the underlying methods used. The insights obtained from the first of these provides a much-needed explanation for the effectiveness of the latter two. The consequent explanations are provided in the form of two theorems and their corollaries.
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