Geodesic
Standard solutions of complex linear differential equations
Janne Heittokangas1 ; Samu Pulkkinen1 ; Hui Yu2 ; Mohamed Amine Zemirni3
1University of Eastern Finland, Department of Physics and Mathematics
2Dalian Maritime University, School of Science
3National 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 
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
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