A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series

Yıl 2016, Cilt: 4 Sayı: 1, 88 - 93, 15.04.2016

Sanjib Kumar Datta Tanmay Biswas Pranab Das

https://doi.org/10.36753/mathenot.421414

Öz

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

Anahtar Kelimeler

Vector valued Dirichlet series (VVDS), relative Ritt order, relative Ritt lower order, growth

Kaynakça

• [1] Rahman, Q. I., The Ritt order of the derivative of an entire function. Annales Polonici Mathematici 17 (1965), 137-140.
• [2] Rajagopal, C. T. and Reddy, A. R., A note on entire functions represented by Dirichlet series. Annales Polonici Mathematici 17 (1965), 199-208.
• [3] Ritt, J. F., On certain points in the theory of Dirichlet series. Amer. Jour. Math. 50 (1928), 73-86.
• [4] Srivastava, G. S., A note on relative type of entire functions represented by vector valued dirichlet series. Journal of Classicial Analysis 2 (2013), no. 1, 61-72.
• [5] Srivastava, G. S. and Sharma, A., On generalized order and generalized type of vector valued Dirichlet series of slow growth. Int. J. Math. Archive 2 (2011), no. 12, 2652-2659.
• [6] Srivastava, B. L., A study of spaces of certain classes of vector valued Dirichlet series. Thesis, I. I. T., Kanpur, 1983.
• [7] Srivastav, R. P. and Ghosh, R. K., On entire functions represented by Dirichlet series. Annales Polonici Mathematici 13 (1963), 93-100.