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

Author

Listed:
  • Luis Manuel Sánchez Ruiz

    (ETSID-Depto. de Matemática Aplicada & CITG, Universitat Politècnica de València, E-46022 Valencia, Spain
    These authors contributed equally to this work.)

  • Sanjib Kumar Datta

    (Department of Mathematics, University of Kalyani, P.O.: Kalyani, Dist., Nadia 741235, India
    These authors contributed equally to this work.)

  • Samten Tamang

    (Department of Mathematics, The University of Burdwan, Golapbag, Burdwan 713104, India
    These authors contributed equally to this work.)

  • Nityagopal Biswas

    (Department of Mathematics, Chakdaha College, Chakdaha, Nadia 741222, India
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Luis Manuel Sánchez Ruiz & Sanjib Kumar Datta & Samten Tamang & Nityagopal Biswas, 2020. "On the Growth of Higher Order Complex Linear Differential Equations Solutions with Entire and Meromorphic Coefficients," Mathematics, MDPI, vol. 9(1), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:58-:d:470200
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