Geodesic
On Two Functional Equations for the Trigonometric Functions
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 281-286

Voir la notice de l'article provenant de la source Cambridge University Press

We consider the following cosine and sine functional equations: (1) (2) where f is an entire function of a complex variable z and x, y are complex variables [1; 2; 3]. 
Haruki, Hiroshi. On Two Functional Equations for the Trigonometric Functions. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 281-286. doi: 10.4153/CMB-1969-035-1
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[1] 1. Aczel, J., Lectures on functional equations and their applications. (Academic Press, New York-London 1966) 117–128, 136–139. Google Scholar

[2] 2. Vincze, E., A d'alembert-Poisson fuggvenyegyenlet egyik altalanositasa. Mat. Lapok 12 (1961) 18–31. Google Scholar

[3] 3. Wilson, W. H., On certain related functional equations. Bull. Amer. Math. Soc. 26 (1919) 300–312. Google Scholar

[4] 4. Polya, G. and Szegö, G., Aufgaben und Eehrsatze ans der Analysis I. (Springer-Verlag, Berlin-Gottingen-Heidelberg 1954) 94. Google Scholar

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