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Les conditions de monogénéité
The aim of this work is to prove an analog of Menchov–Trokhimchuk theorem on weakening conditions of monogeneity for functions given in a concrete three-dimensional commutative algebra over the field of complex numbers. The property of monogeneity of a function is understood as a combination of its continuity with the existence of its Gâteaux derivative.
The aim of the present work is to weaken the conditions of monogeneity for functions taking values in a given three-dimensional commutative algebra over the field of complex numbers. The monogeneity of a function is understood as a combination of its continuity with the existence of Gâteaux derivative.
УДК 517.54 Послаблено умови моногенності функцій зі значеннями в певній тривимірній комутативній алгебрі над полем комплексних чисел.Під моногенністю мається на увазі неперервність та існування похідної Гато.
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