Growth properties of solutions of linear difference equations with coefficients having $\varphi$-order-Reference-Cited by-同舟云学术

Growth properties of solutions of linear difference equations with coefficients having $\varphi$-order

Published:2023-06-13 Issue:2 Volume:68 Page:295-306
ISSN:0252-1938
Container-title:Studia Universitatis Babes-Bolyai Matematica
language:
Short-container-title:Stud. Univ. Babes-Bolyai Math.

Author:

Biswas Nityagopal, ,Sahoo Pulak, ,

Abstract

"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 $% \varphi $-order by using a slow growth scale, the $\varphi $-order, where $% \varphi $ is a non-decreasing unbounded function. We extend some precedent results due to Zheng and Tu (2011) [15] and others."

Publisher

Babes-Bolyai University

Subject

General Mathematics

Reference15 articles.

1. "1. Belaidi, B., Some properties of meromorphic solutions of logarithmic order to higher order linear difference equations, Bul. Acad. Stiint. Repub. Mold. Mat., 83(2017), no. 1,15-28.

2. 2. Biswas, N., Datta, S.K., Tamang, S., On growth properties of transcendental meromorphic solutions of linear differential equations with entire coefficients of higher order, Commun. Korean Math. Soc., 34(2019), no. 4, 1245-1259.

3. 3. Chiang, Y.M., Feng, S.J., On the Nevanlinna characteristic of f(z + η) and difference equations in the complex plane, Ramanujan J., 16(2008), no. 1, 105-129.

4. 4. Chyzhykov, I., Heittokangas, J., Rattya, J., Finiteness of order of solutions of linear differential equations in the unit disc, J. Anal. Math., 109(2009), 163-198.

5. 5. Datta, S.K., Biswas, N., Growth properties of solutions of complex linear differential-difference equations with coefficients having the same φ-order, Bull. Calcutta Math. Soc., 111(2019), no. 3, 253-266.