Infinite sum of logarithms

Is there any closed form for this expression

$\sum _{n=0}^{\mathrm{\infty}}\mathrm{ln}(n+x)$

Is there any closed form for this expression

$\sum _{n=0}^{\mathrm{\infty}}\mathrm{ln}(n+x)$

Mariah Sparks
2022-07-17
Answered

Infinite sum of logarithms

Is there any closed form for this expression

$\sum _{n=0}^{\mathrm{\infty}}\mathrm{ln}(n+x)$

Is there any closed form for this expression

$\sum _{n=0}^{\mathrm{\infty}}\mathrm{ln}(n+x)$

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Thanks in advance.

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