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user44191
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Is the following integral transformation of $f$ known? (for suitable f$f$ and $s\in\mathbb{C}$):

$\int_1^\infty f(t) \frac{e^{-ts}}{1-e^{-ts}}dt$

It? $$ \int_1^\infty f(t) \frac{e^{-ts}}{1-e^{-ts}}dt $$ It resembles somewhat the Laplace transformation.

What about properties, references ...

Thanks in advance!…?

Is the following integral transformation of $f$ known? (for suitable f and $s\in\mathbb{C}$):

$\int_1^\infty f(t) \frac{e^{-ts}}{1-e^{-ts}}dt$

It resembles somewhat the Laplace transformation.

What about properties, references ...

Thanks in advance!

Is the following integral transformation of $f$ known (for suitable $f$ and $s\in\mathbb{C}$)? $$ \int_1^\infty f(t) \frac{e^{-ts}}{1-e^{-ts}}dt $$ It resembles somewhat the Laplace transformation.

What about properties, references …?

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Integral transformation, Laplace-like

Is the following integral transformation of $f$ known? (for suitable f and $s\in\mathbb{C}$):

$\int_1^\infty f(t) \frac{e^{-ts}}{1-e^{-ts}}dt$

It resembles somewhat the Laplace transformation.

What about properties, references ...

Thanks in advance!