Growth properties of solutions of linear difference equations with coefficients having φ -order
DOI:
https://doi.org/10.24193/subbmath.2023.2.06Abstract
In this paper, we investigate the relations between the growth of entire coefficients and that of solutions of complex homogeneous and non-homogeneous linear difference equations with entire coefficients of φ-order by using a slow growth scale, the φ-order, where φ is a non-decreasing unbounded function. We extend some precedent results due to Zheng and Tu (2011) and others.
Mathematics Subject Classification (2010): 30D35, 39A10, 39A12.
Received 20 September 2020; Accepted 17 November 2020.
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