[
[1] J. Aczél and J. Dhombres, Functional Equations in Several Variables, Encyclopedia of Mathematics and its Applications, 31, Cambridge University Press, Cambridge, 1989.
]Search in Google Scholar
[
[2] Y. Aissi and D. Zeglami, D’Alembert’s matrix functional equation with an endomorphism on abelian groups, Results Math. 75 (2020), no. 4, Paper No. 137, 17 pp.10.1007/s00025-020-01265-6
]Search in Google Scholar
[
[3] Y. Aissi, D. Zeglami, and M. Ayoubi, A variant of d’Alemberts matrix functional equation, Ann. Math. Sil. 35 (2021), no. 1, 21–43.
]Search in Google Scholar
[
[4] M. Akkouchi and M.H. Lalaoui Rhali, General solutions of some functional equations, Bol. Mat. 12 (2005), no 1, 57–62.
]Search in Google Scholar
[
[5] L.R. Berrone and L.V. Dieulefait, A functional equation related to the product in a quadratic number field, Aequationes Math. 81 (2011), no. 1–2, 167–175.
]Search in Google Scholar
[
[6] E.A. Chávez and P.K. Sahoo, On functional equations of the multiplicative type, J. Math. Anal. Appl. 431 (2015), no. 1, 283–299.
]Search in Google Scholar
[
[7] J. Chung and P.K. Sahoo, On a functional equation arising from Proth identity, Commun. Korean Math. Soc. 31 (2016), no. 1, 131–138.
]Search in Google Scholar
[
[8] B. Ebanks, Reconsidering a functional equation arising from number theory, Publ. Math. Debrecen, 86 (2015), no. 1-2, 135–147.
]Search in Google Scholar
[
[9] S.-M. Jung and J.-H. Bae, Some functional equations originating from number theory, Proc. Indian Acad. Sci. Math. Sci. 113 (2003), no. 2, 91–98.
]Search in Google Scholar
[
[10] A. Mouzoun, D. Zeglami, and Y. Aissi, Matrix homomorphism equations on a class of monoids and non Abelian groupoids, J. Math. Anal. Appl. 503 (2021), no. 2, Paper No. 125354, 24 pp.10.1016/j.jmaa.2021.125354
]Search in Google Scholar
[
[11] A. Mouzoun, D. Zeglami, and M. Ayoubi, A functional equation originated from the product in a cubic number field, Mediterr. J. Math. 18 (2021), no. 5, Paper No. 191, 14 pp.10.1007/s00009-021-01858-7
]Search in Google Scholar
[
[12] P. Sinopoulos, Wilson’s functional equation for vector and matrix functions, Proc. Amer. Math. Soc. 125 (1997), no. 4, 1089–1094.
]Search in Google Scholar
[
[13] H. Stetkær, Functional Equations on Groups, World Scientific Publishing Company, Singapore, 2013.10.1142/8830
]Search in Google Scholar
[
[14] H. Stetkær, D’Alembert’s and Wilson’s functional equations for vector and 2×2 matrix valued functions, Math. Scand. 87 (2000), no. 1, 115–132.
]Search in Google Scholar
[
[15] D. Zeglami, Some functional equations related to number theory, Acta Math. Hungar. 149 (2016), no. 2, 490–508.
]Search in Google Scholar
