Study of Complex Oscillation of Solutions of a Second Order Linear Differential Equation With Entire Coefficients of (α,β, γ )-Order-Reference-Cited by-同舟云学术

Study of Complex Oscillation of Solutions of a Second Order Linear Differential Equation With Entire Coefficients of (α,β, γ )-Order

Published:2022-06-14 Issue: Volume:21 Page:361-370
ISSN:2224-2880
Container-title:WSEAS TRANSACTIONS ON MATHEMATICS
language:en
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Author:

Belaïdi Benharrat¹,Biswas Tanmay²

Affiliation:

1. Department of Mathematics, Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) B. P. 227 Mostaganem ALGERIA

2. Rajbari, Rabindrapally, R. N. Tagore Road, P.O.- Krishnagar, P.S. Kotwali, Dist-Nadia, PIN-741101, West Bengal INDIA

Abstract

In this paper, we deal with the complex oscillation of solutions of linear differential equation. We mainly study the interaction between the growth, zeros of solutions with the coefficients of second order linear differential equations in terms of ( α, β, γ )-order and obtain some results in general form which considerably extend some results of [5], [18] and [21].

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Subject

General Mathematics

Reference25 articles.

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3. Bank, S., Laine, I., Langley, J.: Oscillation results for solutions of linear differential equations in the complex domain. Results Math. 16 (1989), no. 1-2, 3–15.

4. Belaïdi, B.: Growth of ρϕ -order solutions of linear differential equations with entire coefficients. PanAmer. Math. J. 27 (2017), no. 4, 26–42.

5. Belaïdi, B., Biswas, T.: Complex oscillation of a second order linear differential equation with entire coefficients of (α, β)-order, Silesian J. Pure Appl. Math. vol. 11 (2021), 1–21.

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