Γ(ह)=ह ≈3.562382285390... Γ(ह+1)=ह² Γ(ह+2)=ह³+ह² Γ(ह+3)=ह⁴+3ह³+2ह² Γ(ह+4)=ह⁵+6ह⁴+11ह³+6ह² The unique real nontrivial fixed point of the Gamma function appears to have some relationship to the Stirling numbers https://oeis.org/A094638 (I need to check other fixed points)
a. I need to check if these apply to negative fixed points as well. b. I want to learn what can do with transcedental fixed points. The badly named https://en.m.wikipedia.org/wiki/Omega_constant … might to interesting things in q-hypergeometric series as a parameter.