1. Let
be an entire function of two complex variables z
1 and z
2, holomorphic in the closed polydisk . Let
Following S. K. Bose (1, pp. 214-215), μ(r
1, r
2; ƒ ) denotes the maximum term in the double series (1.1) for given values of r
1 and r
2 and v
1{m2; r
1, r
2) or v
1(r
1, r
2), r
2 fixed, v
2(m
1, r
1, r
2) or v
2(r
1, r
2), r
1 fixed and v(r
1
r
2) denote the ranks of the maximum term of the double series (1.1).