# zbMATH — the first resource for mathematics

Hosszu’s functional equation over rings generated by their units. (English) Zbl 0479.39003

##### MSC:
 39B52 Functional equations for functions with more general domains and/or ranges 39B99 Functional equations and inequalities 12E12 Equations in general fields
Full Text:
##### References:
 [1] Blanuša, D.,The functional equation f(x+yy)+f(xy)=f(x)+f(y). Aequationes Math5 (1970), 63–67. · Zbl 0203.46202 [2] Daróczy, Z.,On the general solution of the functional equation f(x+yy)+f(xy)=f(x)+f(y). Aequationes Math.6 (1971), 130–132. · Zbl 0222.39003 [3] Davison, T. M. K.,On the functional equation f(m+nn)+f(mn)=f(m)+f(n). Aequationes Math.10 (1974), 206–211. · Zbl 0286.39011 [4] Davison, T. M. K.,The complete solution of Hosszú’s functional equation over a field. Aequationes Math.11 (1974), 273–276. · Zbl 0289.39004 [5] Davison, T. M. K.,On Hosszú’s functional equation. Preprint, University of Warwick, Coventry, England, 1976. [6] Fenyö, I.,On the general solution of a functional equation in the domain of distributions. Aequationes Math.3 (1969), 236–246. · Zbl 0194.45401 [7] Światak, H.,A proof of the equivalence of the equation f(x+y-xy)+f(xy)=f(x)+f(y) and Jensen’s functional equation. Aequationes Math.6 (1971), 24–29. · Zbl 0214.39102 [8] Weiss, E.,Algebraic Number Theory. McGraw-Hill, New York, 1963. · Zbl 0115.03601
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.