Families of Differential Equations in the Unit Disk

Abstract EN

We study the interaction between coefficient and solution conditions for complex linear differential equations in the unit disk within the context of normal families and corresponding families of differential equations.

In addition, we consider this interaction within the context of normal functions in terms of Noshiro.

Consideration of families of differential equations introduces a new perspective for studying normality.

Consequently, sharper results are found than in previous studies involving normal functions within the context of one differential equation.