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

Year 2017, Volume: 5 Issue: 2, 85 - 96, 30.03.2017

Sanjib Kumar Datta , Tanmay Biswas Ahsanul Hoque

https://izlik.org/JA45CE77ET

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.