Growth of $(\alpha ,\beta ,\gamma )$-order solutions of linear differential equations with entire coefficients

Benharrat Belaïdi; Tanmay Biswas

Growth of $(\alpha ,\beta ,\gamma )$-order solutions of linear differential equations with entire coefficients

Complex Variables 2023-08-09 v1

Authors: Benharrat Belaïdi , Tanmay Biswas

Abstract

The main aim of this paper is to study the growth of solutions of higher order linear differential equations using the concepts of $(\alpha ,\beta ,\gamma )$ -order and $(\alpha ,\beta ,\gamma )$ -type. We obtain some results which improve and generalize some previous results of Kinnunen \cite{13}, Long et al. \cite{L} as well as Bela\"{\i}di \cite{b3}, \cite{b5}.

Keywords

linear differential equations entire coefficients (alpha, beta, gamma)-order (alpha, beta, gamma)-type growth of solutions

Cite

@article{arxiv.2308.04208,
  title  = {Growth of $(\alpha ,\beta ,\gamma )$-order solutions of linear differential equations with entire coefficients},
  author = {Benharrat Belaïdi and Tanmay Biswas},
  journal= {arXiv preprint arXiv:2308.04208},
  year   = {2023}
}

Comments

21 pages

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