English

Standard solutions of complex differential equations

Complex Variables 2023-11-10 v1

Abstract

A meromorphic solution of a complex linear differential equation (with meromorphic coefficients) for which the value zero is the only possible finite deficient/deviated value is called a standard solution. Conditions for the existence and the number of standard solutions are discussed for various types of deficient and deviated values.

Keywords

Cite

@article{arxiv.2311.05254,
  title  = {Standard solutions of complex differential equations},
  author = {Janne Heittokangas and Samu Pulkkinen and Hui Yu and Amine Zemirni},
  journal= {arXiv preprint arXiv:2311.05254},
  year   = {2023}
}

Comments

18 pages

R2 v1 2026-06-28T13:15:58.977Z