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

Sanjib Kumar Datta; Tanmay Biswas; Pranab Das

doi:10.36753/mathenot.421414

EN

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

Abstract

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.

Keywords

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

References

[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.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Sanjib Kumar Datta

Tanmay Biswas This is me

Pranab Das This is me

Publication Date

April 15, 2016

Submission Date

September 3, 2015

Acceptance Date

-

Published in Issue

Year 2016 Volume: 4 Number: 1

DOI

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

IZ

https://izlik.org/JA27XY59NK

APA

Datta, S. K., Biswas, T., & Das, P. (2016). A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Mathematical Sciences and Applications E-Notes, 4(1), 88-93. https://doi.org/10.36753/mathenot.421414

AMA

1.Datta SK, Biswas T, Das P. A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Math. Sci. Appl. E-Notes. 2016;4(1):88-93. doi:10.36753/mathenot.421414

Chicago

Datta, Sanjib Kumar, Tanmay Biswas, and Pranab Das. 2016. “A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series”. Mathematical Sciences and Applications E-Notes 4 (1): 88-93. https://doi.org/10.36753/mathenot.421414.

EndNote

Datta SK, Biswas T, Das P (April 1, 2016) A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Mathematical Sciences and Applications E-Notes 4 1 88–93.

IEEE

[1]S. K. Datta, T. Biswas, and P. Das, “A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series”, Math. Sci. Appl. E-Notes, vol. 4, no. 1, pp. 88–93, Apr. 2016, doi: 10.36753/mathenot.421414.

ISNAD

Datta, Sanjib Kumar - Biswas, Tanmay - Das, Pranab. “A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series”. Mathematical Sciences and Applications E-Notes 4/1 (April 1, 2016): 88-93. https://doi.org/10.36753/mathenot.421414.

JAMA

1.Datta SK, Biswas T, Das P. A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Math. Sci. Appl. E-Notes. 2016;4:88–93.

MLA

Datta, Sanjib Kumar, et al. “A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series”. Mathematical Sciences and Applications E-Notes, vol. 4, no. 1, Apr. 2016, pp. 88-93, doi:10.36753/mathenot.421414.

Vancouver

1.Sanjib Kumar Datta, Tanmay Biswas, Pranab Das. A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series. Math. Sci. Appl. E-Notes. 2016 Apr. 1;4(1):88-93. doi:10.36753/mathenot.421414