TY - JOUR ID - 18094 TI - Some study on the growth properties of entire functions represented by vector valued Dirichlet series in the light of relative Ritt orders JO - Sahand Communications in Mathematical Analysis JA - SCMA LA - en SN - 2322-5807 AU - Datta, Sanjib AU - Biswas, Tanmay AU - Das, Pranab AD - Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-\ 741235, West Bengal, India. AD - Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India. AD - Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India. Y1 - 2016 PY - 2016 VL - 03 IS - 1 SP - 29 EP - 35 KW - Vector valued KW - Dirichlet series (VVDS) KW - Relative Ritt order KW - Relative Ritt lower order KW - growth DO - N2 - 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). UR - https://scma.maragheh.ac.ir/article_18094.html L1 - https://scma.maragheh.ac.ir/article_18094_663f26d0249c7fa7dd6e83e21ad32d04.pdf ER -