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Picturing the Growth Order of Solutions in Complex Linear Differential-Difference Equations with Coefficients of φ-Order

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Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire… Click to show full abstract

Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire or meromorphic functions of finite φ-order. Our findings extend some earlier well-known results.

Keywords: growth order; differential difference; complex linear; order; linear differential

Journal Title: Axioms
Year Published: 2023

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