General solution of the arctangent functional equation

Authors

  • Borislav Crstici Timişoara, Romania
  • Ioan Muntean "Babeş-Bolyai" University, Cluj-Napoca, Romania
  • Neculae Vornicescu "Babeş-Bolyai" University, Cluj-Napoca, Romania
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References

Aczel, J., Vorlesungen uber Funktionagleichungen und ihre Anwendungen, Birkhauser Verlag, Basel und Stuttgart, 1961.

Alt, W., Uber die reellen Funktionen einer reellen Veranderlichen, welche ein rationales Additionstheorem Besitzen, Deutsche Math., 5, 1-12, 1940.

Banach, S., Sur l’equation fonctionnelle f(x+y)=f(x)+f(y), Fundam. Math., 1, 123-124, 1920.

Eberlein, W.F., The elementary transcendental funcitons, Amer. Math. Monthly 61, 386-392, 1954.

Hamel, G., Eine Basis alle Zahlen und die unstetige Losungen der Funktionalgleichung f(x+y)=f(x)+f(y), Math. Ann., 60, 459-462, 1905.

Hardy, G.H., A course of pure mathematics, Foruth Edition, Cambridge University Press, Cambridge, 1925.

Hurwitz, A., Uber die Einguhrung der elementaren transzendenten Funktionen in der algebraischen Analysis, Math. Ann., 70, 33-47. 1911.

Kiesewetter, H., Uber die arctan-Funktionalglichung, ihre mehdreutigen, stetigen Losungen and eine nichtstetige Grupps, Wiss. Z. Friedrich-Schiller-Univ. Jena Math.Natur. Reihe: 14, 417-421, 1965.

Maak, W., Dikfferential – und Integralrechnung, 4 Auflage, Vandenhoeck und Ruprecht, Gottingen, 1969.

Muntean, I., Elementary transcendental functions (Romanian), Universitatea “Babes-Bolyai”, Cluj=Napoca, 1982.

Natanson, I.P., Theory of functions of a real variable. Second Edition (Russian), Gos. Izdat. Tehn-Teoret. Lit., Moscow, 1957.

Stamate, I. and Ghircoiasiu, N., Functional equations defining trigonometric functions (Romanian), Bul. Stiint. Inst. Politehn. Cluj 10, 57-60, 1967.

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Published

1983-08-01

How to Cite

Crstici, B., Muntean, I., & Vornicescu, N. (1983). General solution of the arctangent functional equation. Anal. Numér. Théor. Approx., 12(2), 113–123. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1983-vol12-no2-art2

Issue

Vol. 12 No. 2 (1983)

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Articles

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