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A new class of special functions arising from the solution of differential equations involving multiple proportional delays (1902.03405v1)
Published 9 Feb 2019 in math.DS
Abstract: Proportional delay is a particular case of time dependent delay. In this article, we consider differential equations involving multiple delays. The series solution of this equation leads to a class of special functions. This class of special functions is independent from all the existing special functions obtained as a solution of differential equations. We analyze the basic properties of this class and discuss various identities and relations.