GROWTH ANALYSIS OF COMPOSITE ANALYTIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES IN THE UNIT POLYDISC BASED ON THE RELATIVE (p, q)-th ORDER, RELATIVE (p, q)-th TYPE AND RELATIVE (p, q)-th WEAK TYPE
By
Maneesh Kumar Sen and Anupma Rastogi
Department of Mathematics and Astronomy, University of Lucknow, Lucknow, Uttar Pradesh, India-226007
Email: mksen.lu45@gmail.com, anupmarastogi13121993@gmail.com
(Received: August 01, 2025; Revised : March 09, 2026; Accepted : June 08, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.561P-10
Abstract
In this paper, we study some growth properties of composite analytic functions of several complex variables in the unit polydisc. This paper establishes new results concerning the relative (p, q)-th order, relative (p, q)-th type and relative (p, q)-th weak type of an analytic function with respect to an entire function, where p and q are any two positive integers.
2020 Mathematical Sciences Classification: 30D35, 46S10, 30D20, 32A15
Keywords and Phrases: Growth, Composition, Analytic Function, Polydisc, Relative (p, q)-th Order, Relative (p, q)-th Type and Relative (p, q)-th Weak Type.