Вивчається взаємозв’язок мiж аналiтичною в одиничнiй кулi функцiєю $F$ обмеженого $L$-iндексу за напрямком та функцiєю зрiзки $g_z(t) = F(z+tb)$. Отримано умови на множину $A$, якi забезпечують рiвнiсть $N_b(F,L) = max\{N(g_z;l_z) : z ∈ A\},$ де $l_z(t) = L(z+tb), L : \mathbb{B}^n → \mathbb{R}_+$ — неперервна функцiя, $\mathbb{B}^n = \{z ∈ \mathbb{C}^n :|z|<1\}$. Цi результати є узагальненням вiдомих тверджень для цiлих функцiй декiлькох змiнних.

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