Previous Article in event
Next Article in event
Next Article in session
Growth of the solutions of the homogeneous differential-difference equations.
Published:
28 April 2023
by MDPI
in The 1st International Online Conference on Mathematics and Applications
session Difference and Differential Equations
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.
