Research Article
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
Entire function meromorphic function composition growth relative L*-order relative L*-lower order
References
- A. K. Agarwal: On the properties of an entire function of two complex variables, Canadian J.Math. Vol. 20 (1968), pp.51-57.
- 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.
- B. A. Fuks: Theory of analytic functions of several complex variables, Moscow, 1963.
- O. P. Juneja and G. P. Kapoor : Analytic functions-growth aspects, Pitman avanced publishing program, 1985.
- 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.
- 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, 85 - 96, 30.03.2017
Abstract
References
- A. K. Agarwal: On the properties of an entire function of two complex variables, Canadian J.Math. Vol. 20 (1968), pp.51-57.
- 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.
- B. A. Fuks: Theory of analytic functions of several complex variables, Moscow, 1963.
- O. P. Juneja and G. P. Kapoor : Analytic functions-growth aspects, Pitman avanced publishing program, 1985.
- 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.
- 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 6 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Articles |
| Authors | |
| Publication Date | March 30, 2017 |
| Published in Issue | Year 2017 Volume: 5 Issue: 2 |
