On the Form of Solutions of Fuchsian differential Equations with n regular singular Points
Mathematical Physics
2020-05-26 v3 math.MP
Abstract
The form of the coefficients of power series expressions corresponding to solutions of Fuchsian differential equations (or their associated degenerated confluent forms) with n regular singular points is determined by solving the corresponding n-term recurrence relations in full generality. Some important special cases are discussed in which the solutions coincide with special functions of mathematical physics.
Keywords
Cite
@article{arxiv.1911.01514,
title = {On the Form of Solutions of Fuchsian differential Equations with n regular singular Points},
author = {Albert Huber},
journal= {arXiv preprint arXiv:1911.01514},
year = {2020}
}
Comments
16 pages, no figures, comment added