Для цілих функції $F$ і $G$, зображених рядами Діріхле зі зростаючими до $+\infty$ показниками, знайдено формули для знаходження узагальненого порядку
$$
\varrho_{\alpha,\beta}[F]_G = \varlimsup\limits_{\sigma\to+\infty} \frac{\alpha(M^{-1}_G(M_F(\sigma)))}{\beta(\sigma)}
$$
і узагальненого нижнього порядку
$$
\lambda_{\alpha,\beta} [F]_G = \varliminf\limits_{\sigma\to+\infty} \frac{\alpha(M^{-1}_G(M_F(\sigma)))}{\beta(\sigma)}
$$
функції $F$ відносно функції $G$, де $M_F(\sigma) = \sup\{|F(\sigma+it)|:\,t\in{\Bbb R}\}$, а $\alpha$ і $\beta$ - додатні зростаючі до $+\infty$ функції.

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