Comparative growth properties of analytic function of several complex variables in the unit polydisc. (English) Zbl 1474.32012
Summary: In this paper, we introduced the idea of relative Nevanlinna \(L^\ast\)-order and relative Nevanlinna \(L^\ast\)-lower order of an analytic function of several complex variables with respect to an entire function of several complex variables in the unit polydisc. Also we study some growth properties of composition of two analytic functions of several complex variables in the unit polydisc on the basis of their relative Nevanlinna \(L^\ast\)-order and relative Nevanlinna \(L^\ast\)-lower order.
MSC:
32A22 | Nevanlinna theory; growth estimates; other inequalities of several complex variables |
26Bxx | Functions of several variables |
30Dxx | Entire and meromorphic functions of one complex variable, and related topics |