Research Article

Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions

Volume: 5 Number: 2 March 30, 2017
EN

Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions

Abstract

In the paper we establish some new results depending on the comparative growth properties  of composite entire or meromorphic functions using relative L*-order and relative L*-lower  order as compared to their corresponding left and right factors.

Keywords

References

  1. A. K. Agarwal: On the properties of an entire function of two complex variables, Canadian J.Math. Vol. 20 (1968), pp.51-57.
  2. S. K. Datta, T. Biswas and P. Sen: Measure of growth properties of functions analytic in unit disc, International J. of Math. Sci. & Engg. Appls. (IJMSEA), Vol. 8, No. IV (July, 2014), pp. 147-216.
  3. B. A. Fuks: Theory of analytic functions of several complex variables, Moscow, 1963.
  4. O. P. Juneja and G. P. Kapoor : Analytic functions-growth aspects, Pitman avanced publishing program, 1985.
  5. C. O. Kiselman: Plurisubharmonic functions and potential theory in several complex variables, a contribution to the book project, Development of Mathematics 1950-2000, edited by Jean Paul Pier.
  6. 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

Ahsanul Hoque This is me
India

Publication Date

March 30, 2017

Submission Date

June 18, 2016

Acceptance Date

August 14, 2016

Published in Issue

Year 2017 Volume: 5 Number: 2

APA
Datta, S. K., Biswas, T., & Hoque, A. (2017). Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions. New Trends in Mathematical Sciences, 5(2), 85-96. https://izlik.org/JA45CE77ET
AMA
1.Datta SK, Biswas T, Hoque A. Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions. New Trends in Mathematical Sciences. 2017;5(2):85-96. https://izlik.org/JA45CE77ET
Chicago
Datta, Sanjib Kumar, Tanmay Biswas, and Ahsanul Hoque. 2017. “Growth Properties of Composite Analytic Functions of Several Complex Variables in Unit Polydisc under the Treatment of Slowly Changing Functions”. New Trends in Mathematical Sciences 5 (2): 85-96. https://izlik.org/JA45CE77ET.
EndNote
Datta SK, Biswas T, Hoque A (March 1, 2017) Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions. New Trends in Mathematical Sciences 5 2 85–96.
IEEE
[1]S. K. Datta, T. Biswas, and A. Hoque, “Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions”, New Trends in Mathematical Sciences, vol. 5, no. 2, pp. 85–96, Mar. 2017, [Online]. Available: https://izlik.org/JA45CE77ET
ISNAD
Datta, Sanjib Kumar - Biswas, Tanmay - Hoque, Ahsanul. “Growth Properties of Composite Analytic Functions of Several Complex Variables in Unit Polydisc under the Treatment of Slowly Changing Functions”. New Trends in Mathematical Sciences 5/2 (March 1, 2017): 85-96. https://izlik.org/JA45CE77ET.
JAMA
1.Datta SK, Biswas T, Hoque A. Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions. New Trends in Mathematical Sciences. 2017;5:85–96.
MLA
Datta, Sanjib Kumar, et al. “Growth Properties of Composite Analytic Functions of Several Complex Variables in Unit Polydisc under the Treatment of Slowly Changing Functions”. New Trends in Mathematical Sciences, vol. 5, no. 2, Mar. 2017, pp. 85-96, https://izlik.org/JA45CE77ET.
Vancouver
1.Sanjib Kumar Datta, Tanmay Biswas, Ahsanul Hoque. Growth properties of composite analytic functions of several complex variables in unit polydisc under the treatment of slowly changing functions. New Trends in Mathematical Sciences [Internet]. 2017 Mar. 1;5(2):85-96. Available from: https://izlik.org/JA45CE77ET