Axioms (Feb 2023)

Picturing the Growth Order of Solutions in Complex Linear Differential–Difference Equations with Coefficients of <i>φ</i>-Order

  • Luis M. Sánchez-Ruiz,
  • Sanjib Kumar Datta,
  • Nityagopal Biswas,
  • Matilde Legua

DOI
https://doi.org/10.3390/axioms12030239
Journal volume & issue
Vol. 12, no. 3
p. 239

Abstract

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Given an unbounded non-decreasing positive function φ, we studied what the relations are between the growth order of any solution of a complex linear differential–difference equation whose coefficients are entire or meromorphic functions of finite φ-order. Our findings extend some earlier well-known results.

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