Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders

• Main Authors: Sanjib Datta, Tanmay Biswas, Pranab Das
• Format: Article
• Language: English
• Published: University of Maragheh 2016-02-01
• Series: Sahand Communications in Mathematical Analysis
• Subjects: Vector valued; Dirichlet series (VVDS); Relative Ritt order; Relative Ritt lower order; Growth
• Online Access: http://scma.maragheh.ac.ir/article_18094_663f26d0249c7fa7dd6e83e21ad32d04.pdf

For entire functions, the notions of their growth indicators such as Ritt order are classical in complex analysis. But the concepts of relative Ritt order of entire functions and as well as their technical advantages of not comparing with the growths of $exp exp z$ are not at all known to the researchers of this area. Therefore the studies of the growths of entire functions in the light of their relative Ritt order are the prime concern of this paper. Actually in this paper we establish some newly developed results related to the growth rates of entire functions on the basis of their relative Ritt order (respectively, relative Ritt lower order).