International Journal of Engineering, Science and Mathematics

  • Year: 2018
  • Volume: 7
  • Issue: 5

On the growth analysis of complex linear differential equations with entire and meromorphic coefficients

  • Author:
  • Sanjib Kumar Datta1, Banani Dutta2
  • Total Page Count: 12
  • DOI:
  • Page Number: 44 to 55

1Department of Mathematics, University of Kalyani P.O.- Kalyani, Dist.-Nadia, PIN-741235 Email: sanjibdatta05@gmail.com

2Department of Mathematics, University of Kalyani P.O.- Kalyani, Dist.- Nadia, PIN-741235 Email: duttabananimath@gmail.com

Abstract

The theory of complex differential equation has been developed since 1960's. Many researchers like IlpoLaine (1993) have investigated the system of complex differential equation of the following form k ≥ 2,

where Ai(z)'s (i=0, 1, 2….k-1) and F(z)≠ are entire or meromorphic functions. The prime concern of this paper is to investigate the comparative growth analysis of the solution as well as the coefficients of the above system of equations.

Keywords

Entire function, Linear differential equation, Composition, Growth, Entire function of order zero, Meromorphic function, Complex Differential Equation