Summary
An explicit identity involvingQ n (q i z) (i = 0, 1,⋯, 4) is shown, whereQ n (z) is the denominator of thenth Padé approximant to the functionf(z) = Σ ∞ k=0 q 1/2k(k−1 Z k. By using the Padé approximations, irrationality measures for certain values off(z) are also given.
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Shiokawa, I., Tamura, J. Padé approximations to certain power series. Aeq. Math. 40, 154–167 (1990). https://doi.org/10.1007/BF02112292
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DOI: https://doi.org/10.1007/BF02112292