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
Sanjib Kumar Datta
,
Tanmay Biswas
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
Sanjib Kumar Datta
,
Tanmay Biswas
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.