EventsThe 1st International Online Conference on Mathematics and Applications
Event submissions
Published
with-doi10.3390/IOCMA2023-14381
This submission belongs to the session S11. Difference and Differential Equations of the event The 1st International Online Conference on Mathematics and Applications
Published date
28 Apr, 2023
Academic Editor
author-avatarAlberto Cabada
Citation
Hakima Lassal, Benharrat Belaidi, Growth of the solutions of the homogeneous differential-difference equations., in Proceedings of The 1st International Online Conference on Mathematics and Applications, 1 May–15 May 2023, MDPI: Basel, Switzerland, doi: 10.3390/IOCMA2023-14381
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Growth of the solutions of the homogeneous differential-difference equations.

Hakima Lassal 1
Benharrat Belaidi 1
1. Department of Mathematics, University of Mostaganem (UMAB), Laboratory of Pure and Applied Mathematics, B. P. 227 Mostaganem-Algeria.
Abstract

In the present paper, we investigate the order of meromorphic solutions of the homogeneous linear differential-difference equations of the form:

An(z)f(n)(z+cn)+...+A1(z)f'(z+c1)+A0(z)f(z+c0)=0,

where c0, ..., cn are distinct complex numbers and A0(z), ..., An(z) are entire functions having the same order. Under some conditions on the coefficients, we improve and extend some results of Lan and Chen.

Keywords
Order of meromorphic function
difference equation
differential equation.
Manuscript
csmf-069210-done(1).pdf
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