{'fraction_non_alphanumeric': 0.03588516746411483, 'fraction_numerical': 0.0, 'mean_word_length': 4.371794871794871, 'pattern_counts': {'":': 0, '<': 0, '<?xml version=': 0, '>': 0, 'https://': 0, 'lorem ipsum': 0, 'www.': 0, 'xml': 0}, 'pii_count': 0, 'substrings_counts': 0, 'word_list_counts': {'cursed_substrings.json': 0, 'profanity_word_list.json': 0, 'sexual_word_list.json': 0, 'zh_pornsignals.json': 0}}
A curvilinear extension of Iversen-Tsuji’s theorem for simply connected domain

Let D be a simply connected domain with at least two boundary points in the complex plane, and t a boundary point of D. For a meromorphic function f(z) in D, lim suplf(z)I as z -* t is given in terms of accessible boundary points and prime ends. This gives a curvilinear extension of Iversen-Tsuji's Theorem for a simply connected domain.