Note on the functional equations $f(xy)=f(x)+f(y)$, $f(x\sp n)=nf(x)$
نویسندگان
چکیده
منابع مشابه
Note on the Functional Equations
which is a nonalgebraic integral of the system (1; 1, 0). This conclusion contradicts the fact of Fo being an algebraic function, therefore the initial hypothesis that assumes F to be dependent upon x3 and y3 is absurd. F being independent of x3 and y3, it follows, as initially said, that any algebraic integral of the system (1; 1, 1) is an algebraic combination of the four integrals (12; 1,1),...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1950
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1950-0038543-3