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

Year 2017, Volume: 5 Issue: 2, 104 - 111, 30.03.2017

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.

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.
Year 2017, Volume: 5 Issue: 2, 104 - 111, 30.03.2017

Abstract

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.
There are 8 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Sanjib Kumar Datta

Tanmay Biswas This is me

Publication Date March 30, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

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.
AMA 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. March 2017;5(2):104-111.
Chicago 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 5, no. 2 (March 2017): 104-11.
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 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, 2017.
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 2017), 104-111.
JAMA 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, 2017, pp. 104-11.
Vancouver 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):104-11.