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
- Q. I. Rahaman: The Ritt order of the derivative of an entire function, Annales Polonici Mathematici, Vol. 17 (1965), pp. 137-140.
- 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.
- J. F. Ritt: On certain points in the theory of Dirichlet series, Amer. Jour. Math., Vol. 50 (1928), pp. 73-86.
- 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.
- 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.
- B. L. Srivastava: A study of spaces of certain classes of vector valued Dirichlet series, Thesis, I. I. T., Kanpur, (1983).
- R. P. Srivastav and R. K. Ghosh: On entire functions represented by Dirichlet series, Annales Polonici Mathematici, Vol. 13 (1963), pp. 93-100.
- 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
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