Proves algebraic independence of the η^(n) sequence and that γ^(n) and δ^(n) are transcendental infinitely often, using Shidlovskii's theorem on Gumbel-derived generalized Euler constants.
Applications of a Theorem by A. B. Shidlovski
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Transcendence Results for $\Gamma^{(n)}(1)$ and Related Sequences of Generalized Constants
Proves algebraic independence of the η^(n) sequence and that γ^(n) and δ^(n) are transcendental infinitely often, using Shidlovskii's theorem on Gumbel-derived generalized Euler constants.