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On the growth analysis of meromorphic solutions of finite ϕ-order of linear difference equations

  • Sanjib Kumar Datta ORCID logo EMAIL logo and Nityagopal Biswas ORCID logo
From the journal Analysis

Abstract

In this paper, we investigate some growth properties of meromorphic solutions of higher-order linear difference equation

An(z)f(z+n)++A1(z)f(z+1)+A0(z)f(z)=0,

where An(z),,A0(z) are meromorphic coefficients of finite φ-order in the complex plane where φ is a non-decreasing unbounded function. We extend some earlier results of Latreuch and Belaidi [Z. Latreuch and B. Belaïdi, Growth and oscillation of meromorphic solutions of linear difference equations, Mat. Vesnik 66 2014, 2, 213–222].

MSC 2010: 30D35; 39A10; 39A13

Acknowledgements

The authors are grateful to the anonymous referee for carefully checking details and also for helpful comments towards the improvement of the paper.

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Received: 2018-11-08
Revised: 2019-12-06
Accepted: 2020-07-18
Published Online: 2020-08-27
Published in Print: 2020-11-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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