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Let u ̸≡ −∞ and M ̸≡ −∞ be two subharmonic functions on a complex plane C with Riesz measures νu and μM , respectively, such that u(z) 6 O(|z|) and M(z) 6 O(|z|) as z → ∞, and q is some positive continuous function on a real axis R, and mes is a linear Lebesgue measure on R. We assume that the following condition for the growth of function u along the imaginary axis iR of the form

Growth of subharmonic functions along line and distribution of their Riesz measures