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--a, $\mathrm{\infty }$) $\mathrm{\subset }\mathit{u}\mathrm{\left(}\mathit{S}\mathrm{\right)}\mathrm{,}{\mathrm{varlimsup}}_{\mathit{\xi }\mathrm{\to }\mathrm{\infty }}\mathit{u}\mathrm{\left(}\mathit{\xi }\mathrm{\right)}\mathrm{=}\mathrm{\infty }{{\displaystyle \int }}_{\mathit{a}}^{\mathit{b}}{\mathrm{\Theta }}_{\mathit{S}}\mathrm{(}\mathit{c}{\mathrm{)}}^{\mathrm{-}\mathrm{1}}\mathit{d}\mathit{c}\mathrm{<}\mathrm{\infty }\mathrm{\Omega }\mathrm{=}\mathrm{\{}\mathit{z}\mathrm{|}{\mathit{r}}_{\mathrm{0}}\mathrm{<}\mathrm{|}\mathit{z}\mathrm{|}\mathrm{<}\mathrm{1}\mathrm{\}}{{\displaystyle \int }}_{\mathit{a}}^{\mathrm{\infty }}{\mathrm{\Theta }}_{\mathit{S}}\mathrm{(}\mathit{c}{\mathrm{)}}^{\mathrm{-}\mathrm{1}}\mathit{d}\mathit{c}\mathrm{=}\mathrm{\infty }$;

${\lim }_{\mathit{\gamma }\mathrm{\to }\mathrm{1}}\mathit{u}\mathrm{\left(}\mathit{r}{\mathit{e}}^{\mathit{i}\mathit{\theta }}\mathrm{\right)}\mathrm{=}\mathrm{\infty }$.

$\mathit{f}\mathit{f}\mathit{u}\mathit{u}\mathit{u}\mathit{u}\mathit{\phi }\mathrm{;}\mathit{b}\mathrm{>}\mathit{a}\mathrm{(}\mathit{\xi }\mathrm{:}\mathrm{-}\mathrm{\infty }\mathrm{)}\mathit{D}\mathrm{\left(}\mathit{c}\mathrm{\right)}\mathit{S}\mathrm{=}\mathrm{\Omega }$. $\mathit{\theta }\mathrm{=}\mathit{\phi }\mathrm{,}$ $\mathit{u}\mathrm{\left(}\mathit{\zeta }\mathrm{\right)}{\mathit{\xi }}_{\mathrm{0}}\mathrm{>}{\mathit{\xi }}^{\mathrm{*}}\mathit{z}\mathrm{\to }{\mathit{e}}^{\mathrm{t}\mathit{\phi }}\mathit{a}\mathrm{C}\mathit{u}\mathrm{\left(}\mathit{S}\mathrm{\right)}$ a6 $\mathit{u}\mathrm{\left(}\mathit{D}\mathrm{\right)}$,

$\mathrm{-}\mathrm{\infty }\mathrm{\le }\mathit{\alpha }\mathrm{<}\mathrm{\infty }\mathrm{,}$ $\mathrm{-}\mathrm{\infty }\mathrm{\le }\mathit{\alpha }\mathrm{<}\mathrm{\infty }\mathrm{,}$ $\mathit{c}\mathrm{>}\mathit{u}\mathrm{\left(}{\mathit{\xi }}_{\mathrm{0}}\mathrm{\right)}\mathrm{,}$ $\mathit{p}$-valent $\mathit{S}\mathrm{=}\mathit{S}\mathrm{(}\mathit{\phi }\mathrm{,}\mathrm{}\mathit{\delta }\mathrm{)}\mathit{u}\mathrm{=}\log \mathrm{\left|}\mathit{f}\mathrm{\right|}\mathit{u}\mathrm{=}\log \mathrm{\left|}\mathit{f}\mathrm{\right|}\mathit{\mu }\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathrm{\infty }\mathrm{)}\mathrm{=}\mathrm{\infty }$,

$\mathit{D}\mathrm{=}\mathrm{\left\{}\mathit{\zeta }\mathrm{\right|}{\mathit{\xi }}^{\mathrm{*}}\mathrm{<}\mathrm{Re}\mathit{\zeta }\mathrm{,}\mathrm{}\mathrm{\left|}\mathrm{Im}\mathit{\zeta }\mathrm{\right|}\mathrm{<}\mathit{\pi }\mathrm{/}\mathrm{2}\mathrm{\}}$ Jim ($\mathit{\mu }\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathit{u}\mathrm{(}\mathit{\zeta }\mathrm{\left)}\mathrm{\right)}\mathrm{-}\frac{\mathrm{1}}{\mathit{\pi }}\mathrm{Re}\mathit{\zeta }\mathrm{)}\mathrm{=}\mathit{\alpha }\mathrm{,}$ ${\mathit{\mu }}_{\mathit{S}}\mathrm{(}\mathit{a}\mathrm{,}\mathrm{}\mathrm{\infty }\mathrm{)}\mathrm{=}\mathrm{\infty }\mathrm{,}$ ${\mathrm{varlimsup}}_{\mathit{r}\mathrm{\to }\mathrm{1}}\mathit{u}\mathrm{\left(}\mathit{r}{\mathit{e}}^{\mathit{i}\mathit{\theta }}\mathrm{\right)}\mathrm{=}\mathrm{\infty }$

$\mathrm{Re}\mathit{\zeta }\mathrm{\to }\mathrm{+}\mathrm{\infty }\mathrm{,}$ $\mathrm{\left|}\mathrm{Im}\mathit{\zeta }\mathrm{\right|}\mathrm{\le }\mathit{\pi }\mathrm{/}\mathrm{2}\mathrm{-}\mathit{\delta }\mathrm{,}$ $\mathrm{0}\mathrm{<}\mathit{\delta }\mathrm{<}\mathit{\pi }\mathrm{/}\mathrm{2}$,

$\lim \mathrm{\left(}{\mathit{\mu }}_{\mathit{S}}\mathrm{\right(}\mathit{a}\mathrm{,}\mathrm{}\mathit{u}\mathrm{\left(}\mathit{z}\mathrm{\right)}\mathrm{)}\mathrm{-}\frac{\mathrm{1}}{\mathit{\pi }}\log \frac{\mathrm{1}}{\mathrm{|}\mathit{z}\mathrm{-}{\mathit{e}}^{\mathit{i}\mathit{\phi }}\mathrm{|}}\mathrm{)}\mathrm{=}\mathit{\alpha }\mathrm{,}{\mathrm{varlimsup}}_{\mathit{f}\mathrm{\to }\mathrm{1}}\mathrm{\left(}{\mathit{\mu }}_{\mathit{S}}\mathrm{\right(}\mathit{a}\mathrm{,}\mathit{u}\mathrm{\left(}\mathit{r}{\mathit{e}}^{\mathit{I}\mathit{\phi }}\mathrm{\right)}\mathrm{)}\mathrm{-}\frac{\mathrm{1}}{\mathit{\pi }}\log \frac{\mathrm{1}}{\mathrm{1}\mathrm{-}\mathit{r}}\mathrm{)}\mathrm{<}\mathrm{\infty }$.

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