Standard solutions of complex linear differential equations

Authors

  • Janne Heittokangas University of Eastern Finland, Department of Physics and Mathematics
  • Samu Pulkkinen University of Eastern Finland, Department of Physics and Mathematics
  • Hui Yu Dalian Maritime University, School of Science
  • Mohamed Amine Zemirni National Higher School of Mathematics

DOI:

https://doi.org/10.54330/afm.152368

Keywords:

Deficient value, entire function, linear differential equation, magnitude of deviation, meromorphic function, minimum modulus, standard solution

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.

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Published

2024-11-25

Issue

Vol. 49 No. 2 (2024)

Section

Articles

License

Copyright (c) 2024 Annales Fennici Mathematici

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite

Heittokangas, J., Pulkkinen, S., Yu, H., & Zemirni, M. A. (2024). Standard solutions of complex linear differential equations. Annales Fennici Mathematici, 49(2), 663–683. https://doi.org/10.54330/afm.152368