Growth Properties of Solutions of Complex Linear Differential-difference Equations with Coefficients having the Same Logarithmic Order in the Unit Disc


Affiliations

  • Chakdaha College, Department of Mathematics, Nadia, 741222, India
  • University of Kalyani, Department of Mathematics, Kalyani, 741235, India
  • Sidho-Kanho-Birsha University, Department of Mathematics, Deen Dayal Upadhyaya College, Purulia, 723104, India

Abstract

In this paper, we investigate the relations between the growth of meromorphic coefficients and that of meromorphic solutions of complex linear differential-difference equations with meromorphic cofficients of finite logarithmic order in the unit disc. Our results can be viewed as the generalization for both the cases of complex linear differential equations and complex linear difference equations.

Keywords

Nevanlinna's Theory, Linear differential-difference equation, Meromorphic solution, Logarithmic order, Unit disc

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References

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