Geodesic
Standard solutions of complex linear differential equations
Janne Heittokangas1 ; Samu Pulkkinen1 ; Hui Yu2 ; Mohamed Amine Zemirni3
1 University of Eastern Finland, Department of Physics and Mathematics
2 Dalian Maritime University, School of Science
3 National Higher School of Mathematics
Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 663–683.

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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.
DOI : 10.54330/afm.152368
Keywords: Deficient value, entire function, linear differential equation, magnitude of deviation, meromorphic function, minimum modulus, standard solution

Janne Heittokangas 1 ; Samu Pulkkinen 1 ; Hui Yu 2 ; Mohamed Amine Zemirni 3

1 University of Eastern Finland, Department of Physics and Mathematics
2 Dalian Maritime University, School of Science
3 National Higher School of Mathematics 
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Janne Heittokangas; Samu Pulkkinen; Hui Yu; Mohamed Amine Zemirni. Standard solutions of complex linear differential equations. Annales Fennici Mathematici, Tome 49 (2024) no. 2, p. 663–683. doi : 10.54330/afm.152368. http://geodesic.mathdoc.fr/articles/10.54330/afm.152368/

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