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

Luis Manuel Sánchez Ruiz, Sanjib Kumar Datta, Samten Tamang and Nityagopal Biswas
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Luis Manuel Sánchez Ruiz: ETSID-Depto. de Matemática Aplicada & CITG, Universitat Politècnica de València, E-46022 Valencia, Spain
Sanjib Kumar Datta: Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist., Nadia 741235, India
Samten Tamang: Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, India
Nityagopal Biswas: Department of Mathematics, Chakdaha College, Chakdaha, Nadia 741222, India

Mathematics, 2020, vol. 9, issue 1, 1-10

Abstract: 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.

Keywords: entire function; meromorphic function; [ p , q ]-order; linear differential equations (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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