Growth Analysis of Composite Entire Functions of Several Complex Variables Based on Relative Order

Author:

Prajapati Balram1,Rastogi Anupama1

Affiliation:

1. Department of Mathematics and Astronomy, University of Lucknow, Lucknow, India

Abstract

<p>In this paper we introduce some new results depending on the comparative growth properties of composition of entire function of several complex variables using relative L^*-order, Relative L^*-lower order and L≡L(r_1,r_2,r_3,……..,r_n) is a slowly changing functions. We prove some relation between relative L^*- order and relative L^*- lower order.</p>

Publisher

Technoscience Academy

Subject

General Medicine

Reference24 articles.

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2. A.D. Singh, M.S. Baloria, On maximum modulus and maximum term of composite of entire functions, Indian J.Pure Appl.Math.,22(12) (1991) 1019 – 1026.

3. B.A. Fuks, Theory of analytic functions of several complex variables, Moscow,1963.

4. C.O. Kiselman, Order and type as measures of growth for convex or entire functions, Proc.Lond.Math.Soc.66(1993),152 – 186.

5. C.O. Kiselman, Pluzisubharmonic functions and potential theory in several complex variables a contribution to the book project, Development of Mathematics 1950 – 2000, edited by Jean Panlpier.

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