Standard solutions of complex differential equations

2023/11/09 by Heittokangas, Janne, Pulkkinen, Samu, Yu, Hui +1
#34M05 #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.05254

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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