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

Research Article

Year 2016, Volume: 4 Issue: 1, 88 - 93, 15.04.2016

Sanjib Kumar Datta Tanmay Biswas Pranab Das

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

Abstract

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.

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

Year 2016, Volume: 4 Issue: 1, 88 - 93, 15.04.2016

Sanjib Kumar Datta Tanmay Biswas Pranab Das

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

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.

There are 7 citations in total.

Details

Primary Language	English
Journal Section	Articles
Authors	Sanjib Kumar Datta Tanmay Biswas This is me Pranab Das This is me
Publication Date	April 15, 2016
Submission Date	September 3, 2015
Published in Issue	Year 2016 Volume: 4 Issue: 1

Cite

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	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. April 2016;4(1):88-93. doi:10.36753/mathenot.421414
Chicago	Datta, Sanjib Kumar, Tanmay Biswas, and Pranab Das. “A Note on the Relative Ritt Order of Entire Functions Represented by Vector Valued Dirichlet Series”. Mathematical Sciences and Applications E-Notes 4, no. 1 (April 2016): 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	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, 2016, doi: 10.36753/mathenot.421414.
ISNAD	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 4/1 (April 2016), 88-93. https://doi.org/10.36753/mathenot.421414.
JAMA	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, 2016, pp. 88-93, doi:10.36753/mathenot.421414.
Vancouver	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.