Kumar Datta, S., Biswas, T. (2018). On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Sahand Communications in Mathematical Analysis, 12(1), 179-186. doi: 10.22130/scma.2017.23647

Sanjib Kumar Datta; Tanmay Biswas. "On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series". Sahand Communications in Mathematical Analysis, 12, 1, 2018, 179-186. doi: 10.22130/scma.2017.23647

Kumar Datta, S., Biswas, T. (2018). 'On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series', Sahand Communications in Mathematical Analysis, 12(1), pp. 179-186. doi: 10.22130/scma.2017.23647

Kumar Datta, S., Biswas, T. On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Sahand Communications in Mathematical Analysis, 2018; 12(1): 179-186. doi: 10.22130/scma.2017.23647

On Some Results in the Light of Generalized Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series

^{1}Department of Mathematics, University of Kalyani, P.O.-Kalyani, Dist-Nadia, PIN-741235, West Bengal, India.

^{2}Rajbari, Rabindrapalli, R. N. Tagore Road, P.O.-Krishnagar, Dist-Nadia, PIN-741101, West Bengal, India.

Abstract

In this paper, we study some growth properties of entire functions represented by a vector valued Dirichlet series on the basis of generalized relative Ritt order and generalized relative Ritt lower order.

[1] Q.I. Rahman, The Ritt order of the derivative of an entire function, Ann. Polon. Math. , 17 (1965), pp. 137-140.

[2] C.T. Rajagopal and A.R. Reddy, A note on entire functions represented by Dirichlet series, Ann. Polon. Math., 17 (1965), pp. 199-208.

[3] J.F. Ritt, On certain points in the theory of Dirichlet series, Amer. Jour. Math., 50 (1928), pp. 73-86.

[4] G.S. Srivastava, A note on relative type of entire functions represented by vector valued dirichlet series, Journal of Classicial Analysis, 2 (2013), pp. 61-72.

[5] G.S. Srivastava and A. Sharma, On generalized order and generalized type of vector valued Dirichlet series of slow growth, Int. J. Math. Archive, 12 (2011), pp. 2652-2659.

[6] B.L. Srivastava, A study of spaces of certain classes of vector valued Dirichlet series, Thesis, I. I. T., Kanpur, 1983.

[7] R.P. Srivastav and R.K. Ghosh, On entire functions represented by Dirichlet series, Ann. Polon. Math., 13 (1963), pp. 93-100.