GROWTH PROPERTIES OF AN ENTIRE FUNCTION OF SEVERAL COMPLEX VARIABLES ON THE BASIS OF RELATIVE ORDER
By
Suraj Bhan and Anupma Rastogi
Department of Mathematics and Astronomy, Lucknow University, Lucknow, Uttar Pradesh, India-226007
Email: sb992751@gmail.com, anupmarastogi13121993@gmail.com
(Received: January 06, 2023; In format: January 08, 2023; Revised : February 04, 2023; Accepted: February 12, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53114
Abstract
In this paper, we study some comparative growth properties of composite entire function of several complex variables, on the basis of relative order and relative lower order of an entire function with respect to an entire function. Here we are defining some definitions related to relative order and relative lower order in terms of central index. A Rastogi, Biswas, Pramanik, Somsundaram many authors work on central index.
2020 Mathematical Sciences Classification: 32A05, 32C15.
Keywords and Phrases: Entire function, maximum term, several complex variables, maximum modulus, composition, generalized relative order, generalized relative L order, generalized relative L* order, central index.
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