Mathematics, Volume 12, Issue 16
2024 August-2 - 170 articles
Cover Story: Padé approximations are approximations of holomorphic functions by rational functions. The application of Padé approximations to Diophantine approximations has a long history dating back to Hermite. In this paper, we use the Maier–Chudnovsky construction of Padé-type approximation to study irrationality properties about values of functions with the form in Theorem 1, where b, t, s are positive integers and obtain upper bounds for irrationality measures of their values at nonzero rational points. Important examples includes exponential integral, Gauss error function and Kummer’s confluent hypergeometric functions. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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