Transcendental values of the digamma function Original Research Article

Let ψ(x) denote the digamma function, that is, the logarithmic derivative of Eulerʹs Γ-function. Let q be a positive integer greater than 1 and γ denote Eulerʹs constant. We show that all the numbersimage are transcendental. We also prove that at most one of the numbersimage is algebraic.