Research Article

On the growth estimates of entire functions of double complex variables

Volume: 5 Number: 2 March 30, 2017
EN

On the growth estimates of entire functions of double complex variables

Abstract

Recently Datta et al. [6] introduced the idea of relative type and relative weak type of entire functions of two complex variables with respect to another entire function of two complex variables and prove some related growth properties of it. In this paper, further we study some growth properties of entire functions of two complex variables on the basis of their relative types and relative weak types as introduced by Datta et al [6].

Keywords

References

  1. A. K. Agarwal : On the properties of entire function of two complex variables, Canadian Journal of Mathematics, Vol. 20 (1968), pp. 51-57.
  2. L. Bernal : Crecimiento relativo de funciones enteras. Contribuci´on al estudio de lasfunciones enteras con´ındice exponencial finito, Doctoral Dissertation, University of Seville, Spain, 1984.
  3. L. Bernal : Orden relative de crecimiento de funciones enteras, Collect. Math., Vol. 39 (1988), pp.209-229.
  4. D. Banerjee and R. K. Datta : Relative order of entire functions of two complex variables, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 1, No. 1 (2007), pp. 141-154
  5. S. K. Datta, T. Biswas and G. K. Mondal: A note on the relative order of entire functions of two complex variables, International Journal of Pure and Applied Mathematics (IJPAM), Vol. 101, No. 3 (2015), pp. 339-347.
  6. S. K. Datta, T. Biswas and S. Bhattacharyya: On relative type and weak type of entire functions of two complex variables, Facta Universititatis series: Mathematics and Informatics, Accepted for publication (2016) and to appear.
  7. A. B. Fuks : Theory of analytic functions of several complex variables, (1963), Moscow.
  8. S. Halvarsson : Growth properties of entire functions depending on a parameter, Annales Polonici Mathematici, Vol. 14, No.1 (1996), pp. 71-96.

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

December 7, 2016

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Datta, S. K., & Biswas, T. (2017). On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences, 5(2), 252-272. https://izlik.org/JA85UZ35YM
AMA
1.Datta SK, Biswas T. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences. 2017;5(2):252-272. https://izlik.org/JA85UZ35YM
Chicago
Datta, Sanjib Kumar, and Tanmay Biswas. 2017. “On the Growth Estimates of Entire Functions of Double Complex Variables”. New Trends in Mathematical Sciences 5 (2): 252-72. https://izlik.org/JA85UZ35YM.
EndNote
Datta SK, Biswas T (March 1, 2017) On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences 5 2 252–272.
IEEE
[1]S. K. Datta and T. Biswas, “On the growth estimates of entire functions of double complex variables”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 252–272, Mar. 2017, [Online]. Available: https://izlik.org/JA85UZ35YM
ISNAD
Datta, Sanjib Kumar - Biswas, Tanmay. “On the Growth Estimates of Entire Functions of Double Complex Variables”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 252-272. https://izlik.org/JA85UZ35YM.
JAMA
1.Datta SK, Biswas T. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences. 2017;5:252–272.
MLA
Datta, Sanjib Kumar, and Tanmay Biswas. “On the Growth Estimates of Entire Functions of Double Complex Variables”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 252-7, https://izlik.org/JA85UZ35YM.
Vancouver
1.Sanjib Kumar Datta, Tanmay Biswas. On the growth estimates of entire functions of double complex variables. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):252-7. Available from: https://izlik.org/JA85UZ35YM