×

On the functional equation \(f(x)=\sum^{k-1}_{j=0}f((x+j)/k)\) over finite rings. (English) Zbl 0333.39008


MSC:

39B05 General theory of functional equations and inequalities
39B52 Functional equations for functions with more general domains and/or ranges
PDFBibTeX XMLCite
Full Text: DOI EuDML

References:

[1] Anastassiadis, J.,Définition fonctionnelle des polynomes de Bernoulli et d’Euler, C.R. Acad. Sci. Paris258, 1971–1973 (1964).
[2] Artin, E.,The Gamma Function. Holt, Rinehart and Winston, New York 1964. · Zbl 0144.06802
[3] Dennler, G.,Bestimmung sämtlicher meromorpher Lösungen der Funktionalgleichung f(z) = = 1/k h=0 k-1 f((z + h)/k), Wiss. Z. Friedrich-Schiller-Univ. Jena/Thüringen, Math. Naturw. Reihe14, 347–350 (1965). · Zbl 0146.13202
[4] Kairies, H.-H.,Zur axiomatischen Charakterisierung der Gammafunktion, J. Reine Angew. Math.236, 103–111 (1969). · Zbl 0174.10501 · doi:10.1515/crll.1969.236.103
[5] Kuwagaki, A.,Sur quelques équations fonctionnelles et leurs solutions charactéristiques I, Mem. Coll. Sci. Kyoto Univ. Ser. A26, 271–277 (1950). · Zbl 0045.21804
[6] Nörlund, N. E.,Vorlesungen über Differenzenrechnung. Chelsea, New York 1954. · JFM 50.0315.02
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. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.