On the Growth of Higher Order Complex Linear Differential Equations Solutions with Entire and Meromorphic Coefficients

[EN] We revisit the problem of studying the solutions growth order in complex higher order linear differential equations with entire and meromorphic coefficients of p,q-order, proving how it is related to the growth of the coefficient of the unknown function under adequate assumptions. Our study imp...

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Detalles Bibliográficos
Autores: Sánchez Ruiz, Luis Manuel|||0000-0001-7559-6724, Datta, Sanjib Kumar, Tamang, Samten, Biswas, Nityagopal
Tipo de recurso: artículo
Fecha de publicación:2021
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/181543
Acceso en línea:https://riunet.upv.es/handle/10251/181543
Access Level:acceso abierto
Palabra clave:Entire function
Meromorphic function
[p, q]-order
Linear differential equations
Descripción
Sumario:[EN] We revisit the problem of studying the solutions growth order in complex higher order linear differential equations with entire and meromorphic coefficients of p,q-order, proving how it is related to the growth of the coefficient of the unknown function under adequate assumptions. Our study improves the previous results due to J. Liu - J. Tu - L. Z Shi, L.M. Li - T.B. Cao, and others.