Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients
Mathematical Physics
2017-01-09 v2 math.MP
Abstract
We discuss several examples of generating apparent singular points as a result of differentiating particular homogeneous linear ordinary differential equations with polynomial coefficients and formulate two general conjectures on the generation and removal of apparent singularities in arbitrary Fuchsian differential equations with polynomial coefficients. We consider a model problem in polymer physics.
Keywords
Cite
@article{arxiv.1606.01476,
title = {Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients},
author = {S. Yu. Slavyanov and D. A. Satco and A. M. Ishkhanyan and T. A. Rotinyan},
journal= {arXiv preprint arXiv:1606.01476},
year = {2017}
}