Irrationality Measures for the Series of Reciprocals from Recurrence Sequences Original Research Article

Using Padé approximations of Heineʹs q-hypergeometric series we obtain new irrationality measures for the values of the series ∑∞n=1tn/Wn, where Wn is a Fibonacci or Lucas type arithmetical form satisfying the recurrenceimage with initial values W1, W2 and tset membership, variantimage*.