Function of the form ∑ₙ𝑐ₙ𝑥ⁿ∕𝑛! with 𝑐ₙ∈𝐾 for some number field 𝐾 and such that for all 𝜀>0 there exists a sequence of natural numbers 𝑞₀,𝑞₁,… such that 𝑞ₙ𝑐ₖ (𝑘≤𝑛) is an algebraic integer in 𝐾 and 𝑞ₙ and 𝑐ₙ and its conjugates are 𝒪(𝑛^𝑛𝜀)
function of the form ∑ₙ𝑐ₙ𝑥ⁿ∕𝑛! with 𝑐ₙ∈𝐾 for some number field 𝐾 and such that for all 𝜀>0 there exists a sequence of natural numbers 𝑞₀,𝑞₁,… such that 𝑞ₙ𝑐ₖ (𝑘≤𝑛) is an algebraic integer in 𝐾 and 𝑞ₙ and 𝑐ₙ and its conjugates are 𝒪(𝑛^𝑛𝜀) (en)