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

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Authors

  • Nityagopal Biswas
     ,IN
  • Sanjib Kumar Datta
     ,IN
  • Gorachand Chakraborty
     ,IN

DOI:

https://doi.org/10.18311/jims/2021/27832

Keywords:

Nevanlinna's Theory, Linear differential-difference equation, Meromorphic solution, Logarithmic order, Unit disc
30D35, 34K06, 34K12

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.

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Published

2021-06-14

How to Cite

Biswas, N., Kumar Datta, S., & Chakraborty, G. (2021). Growth Properties of Solutions of Complex Linear Differential-difference Equations with Coefficients having the Same Logarithmic Order in the Unit Disc. The Journal of the Indian Mathematical Society, 88(3-4), 237–249. https://doi.org/10.18311/jims/2021/27832

Issue

Volume 88, Issue 3-4, July-December 2021

Section

Articles

License

Copyright (c) 2021 Nityagopal Biswas, Sanjib Kumar Datta, Gorachand Chakraborty

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

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