Research Article

On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series

Volume: 5 Number: 2 March 30, 2017
EN

On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series

Abstract

In this paper we introduce the idea of relative Ritt L*-type and relative RittL*-weak type of entire functions represented by vector valued dirichlet series. Further we wish to study some growth properties of entire functions represented by a vector valued  Dirichlet series on the basis of relative Ritt L*-type and relative Ritt L*-weak type.

Keywords

References

  1. Q. I. Rahaman: The Ritt order of the derivative of an entire function, Annales Polonici Mathematici, Vol. 17 (1965), pp. 137-140.
  2. C. T. Rajagopal and A. R. Reddy: A note on entire functions represented by Dirichlet series, Annales Polonici Mathematici, Vol. 17 (1965), pp. 199-208.
  3. J. F. Ritt: On certain points in the theory of Dirichlet series, Amer. Jour. Math., Vol. 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, Vol. 2, No. 1 (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, Vol. 2, No. 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, Annales Polonici Mathematici, Vol. 13 (1963), pp. 93-100.
  8. D. Somasundaram and R. Thamizharasi : A note on the entire functions of L-bounded index and L-type, Indian J. Pure Appl. Math., Vol.19 (March 1988), No. 3, pp. 284-293.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Tanmay Biswas This is me
India

Publication Date

March 30, 2017

Submission Date

June 25, 2016

Acceptance Date

August 14, 2016

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Datta, S. K., & Biswas, T. (2017). On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series. New Trends in Mathematical Sciences, 5(2), 104-111. https://izlik.org/JA23PX95ZM
AMA
1.Datta SK, Biswas T. On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series. New Trends in Mathematical Sciences. 2017;5(2):104-111. https://izlik.org/JA23PX95ZM
Chicago
Datta, Sanjib Kumar, and Tanmay Biswas. 2017. “On Relative Ritt L*-Type and Relative Ritt L*-Weak Type of Entire Functions Presented in the Form of Vector Valued Dirichlet Series”. New Trends in Mathematical Sciences 5 (2): 104-11. https://izlik.org/JA23PX95ZM.
EndNote
Datta SK, Biswas T (March 1, 2017) On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series. New Trends in Mathematical Sciences 5 2 104–111.
IEEE
[1]S. K. Datta and T. Biswas, “On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 104–111, Mar. 2017, [Online]. Available: https://izlik.org/JA23PX95ZM
ISNAD
Datta, Sanjib Kumar - Biswas, Tanmay. “On Relative Ritt L*-Type and Relative Ritt L*-Weak Type of Entire Functions Presented in the Form of Vector Valued Dirichlet Series”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 104-111. https://izlik.org/JA23PX95ZM.
JAMA
1.Datta SK, Biswas T. On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series. New Trends in Mathematical Sciences. 2017;5:104–111.
MLA
Datta, Sanjib Kumar, and Tanmay Biswas. “On Relative Ritt L*-Type and Relative Ritt L*-Weak Type of Entire Functions Presented in the Form of Vector Valued Dirichlet Series”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 104-11, https://izlik.org/JA23PX95ZM.
Vancouver
1.Sanjib Kumar Datta, Tanmay Biswas. On relative Ritt L*-type and relative Ritt L*-weak type of entire functions presented in the form of vector valued Dirichlet series. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):104-11. Available from: https://izlik.org/JA23PX95ZM