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Proportional delay is a particular case of time dependent delay. In thisarticle, we consider differential equations involving multiple delays. Theseries solution of this equation leads to a class of special functions. Thisclass of special functions is independent from all the existing specialfunctions obtained as a solution of differential equations. We analyze thebasic properties of this class and discuss various identities and relations.

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