I need some help figuring out how to evaluate this integral.
$$\frac{1}{n!}\int_0^1 (x-t)^n \ln\Gamma(t) \, dt$$
A similar integral is known due to the work of Victor Adamchik. But I haven’t been able to figure out how to use it.
I need some help figuring out how to evaluate this integral.
$$\frac{1}{n!}\int_0^1 (x-t)^n \ln\Gamma(t) \, dt$$
A similar integral is known due to the work of Victor Adamchik. But I haven’t been able to figure out how to use it.
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