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Some higher order complex vector functional equations. (English) Zbl 1080.39506

Summary: In the present paper some complex vector functional equations of higher order without parameters and with complex parameters are solved.

MSC:

39B32 Functional equations for complex functions
39B52 Functional equations for functions with more general domains and/or ranges
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References:

[1] J. Aczel: Lectures on Functional Equations and Their Applications. Academic Press, New York-London, 1966. · Zbl 0139.09301
[2] I. B. Risteski, K. G. Trenčevski and V. C. Covachev: A simple functional operator. New York J. Math. 5 (1999), 139-142. · Zbl 0933.39047
[3] I. B. Risteski, K. G. Trenčevski and V. C. Covachev: Cyclic complex vector functional equations. Appl. Sci. 2 (2000), 13-18. · Zbl 0954.39019
[4] I. B. Risteski, K. G. Trenčevski and V. C. Covachev: On a linear vector functional equation. Some Problems of Applied Mathematics, A. Ashyralyev, H. A. Yurtsever (eds.), Fatih University Publications, Istanbul, 2000, pp. 174-184.
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