First Order Linear Proportional Difference Equation with Integration Factor the (s,t)-Pantograph Function

2024/05/18 by López, Ronald Orozco
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics

paper · doi:10.48550/arxiv.2405.11332

Abstract

In this paper, we find solutions to first-order linear proportional difference equations via the (s,t)-integration factor method. The (s,t)-integration factor involves the (s,t)-Pantograph function, which is a generalization of the partial Theta function. Other equations are solved including the (s,t)-analog of the Bernoulli equation.

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