Abstract
Using Padé approximations of Heine's q-hypergeometric series we obtain new irrationality measures for the values of the series ∑ ∞ n=1 t n / W n , where W n is a Fibonacci or Lucas type arithmetical form satisfying the recurrence W n+2=rW n+1+sW n r, s∈ Q * with initial values W 1, W 2 and t∈ Q *.
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