Possible Intervals for T- and M-Orders of Solutions of Linear Differential Equations in the Unit Disc

In the case of the complex plane, it is known that there exists a finite set of rational numbers containing all possible growth orders of solutions of f(k)+ak-1(z)f(k-1)+⋯+a1(z)f′+a0(z)f=0 with polynomial coefficients. In the present paper, it is shown by an example that a unit disc counterpart of s...

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Bibliographic Details
Main Authors: Martin Chuaqui, Janne Gröhn, Janne Heittokangas, Jouni Rättyä
Format: Article
Language:English
Published: Hindawi Limited 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/928194