Int. Journal of Math. Analysis, Vol. 5, 2011, no. 43, 2141 - 2146 On the Growth of Entire Functions of Several Complex Variables Huzoor H. Khan and Rifaqat Ali Department of Mathematics Aligarh Muslim University Aligarh - 202002, India huzoorkhan@yahoo.com rifaqat.ali1@gmail.com Abstract In this paper we generalize and improve the results of R. K. Sri- vastava, Vinod Kumar [4] and S. S. Dalal [1]. Here we considered the Taylor series expansion of an entire function in terms of homogeneous polynomials of degree (m + n) in two complex variables. Mathematics Subject Classification: 30E10 Keywords Homogeneous polynomials, order and type, lower order and lower type 1. Introduction If ν : C 2 -→ R + = [0, ∞[, be a real-valued function such that the following conditions hold: (i) ν (z + z ′ ) ≤ ν (z)+ ν (z ′ ) ∀ z,z ′ ∈ C 2 , (ii) ν (λz ) ≤|λ|ν (z) ∀ λ ∈ C (iii) ν (z)=0 ←→ z =0, then ν is a norm. Let f (z 1 ,z 2 )= ∑ ∞ m,n=0 P m,n (z 1 ,z 2 ), the Taylor series expansion of f (z 1 ,z 2 ) in terms of homogeneous polynomials P m,n (z 1 ,z 2 ): C 2 -→ C of degree (m+n). We have M (r 1 ,r 2 )= sup ν(zt )≤r |f (z 1 ,z 2 )|, t =1, 2, r = max (r 1 ,r 2 ),