English

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

Classical Analysis and ODEs 2024-05-21 v1

Abstract

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

Cite

@article{arxiv.2405.11332,
  title  = {First Order Linear Proportional Difference Equation with Integration Factor the $(s,t)$-Pantograph Function},
  author = {Ronald Orozco López},
  journal= {arXiv preprint arXiv:2405.11332},
  year   = {2024}
}

Comments

22 pages

R2 v1 2026-06-28T16:31:56.664Z