A new class of special functions arising from the solution of differential equations involving multiple proportional delays

2019/02/09 by Patade, Jayvant, Bhalekar, Sachin
#33E99 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.03405

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.

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