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arXiv:1902.03405 [math.DS]AbstractReferencesReviewsResources

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

Jayvant Patade, Sachin Bhalekar

Published 2019-02-09Version 1

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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