Research Article

Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order

Volume: 5 Number: 2 March 30, 2017
EN

Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order

Abstract

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

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 PoloniciMathematici, 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). Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order. New Trends in Mathematical Sciences, 5(2), 97-103. https://izlik.org/JA59TK28GU
AMA
1.Datta SK, Biswas T. Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order. New Trends in Mathematical Sciences. 2017;5(2):97-103. https://izlik.org/JA59TK28GU
Chicago
Datta, Sanjib Kumar, and Tanmay Biswas. 2017. “Some Growth Analysis of Entire Functions in the Form of Vector Valued Dirichlet Series on the Basis of Their Relative Ritt L∗-Order and Relative Ritt L∗-Lower Order”. New Trends in Mathematical Sciences 5 (2): 97-103. https://izlik.org/JA59TK28GU.
EndNote
Datta SK, Biswas T (March 1, 2017) Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order. New Trends in Mathematical Sciences 5 2 97–103.
IEEE
[1]S. K. Datta and T. Biswas, “Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 97–103, Mar. 2017, [Online]. Available: https://izlik.org/JA59TK28GU
ISNAD
Datta, Sanjib Kumar - Biswas, Tanmay. “Some Growth Analysis of Entire Functions in the Form of Vector Valued Dirichlet Series on the Basis of Their Relative Ritt L∗-Order and Relative Ritt L∗-Lower Order”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 97-103. https://izlik.org/JA59TK28GU.
JAMA
1.Datta SK, Biswas T. Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order. New Trends in Mathematical Sciences. 2017;5:97–103.
MLA
Datta, Sanjib Kumar, and Tanmay Biswas. “Some Growth Analysis of Entire Functions in the Form of Vector Valued Dirichlet Series on the Basis of Their Relative Ritt L∗-Order and Relative Ritt L∗-Lower Order”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 97-103, https://izlik.org/JA59TK28GU.
Vancouver
1.Sanjib Kumar Datta, Tanmay Biswas. Some growth analysis of entire functions in the form of vector valued Dirichlet series on the basis of their relative Ritt L∗-order and relative Ritt L∗-lower order. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):97-103. Available from: https://izlik.org/JA59TK28GU