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In the present study, we introduce a new RH-regular 4D (4-dimensional) matrix derived by Jordan's function and define double sequence spaces by using domains of 4D Jordan totient matrix J t on some classical double sequence spaces. Also, the α -, β ϑ -, and γ -duals of these spaces are determined. Finally, some classes of 4D matrices on these spaces are characterized.doi:10.1155/2021/5594751 fatcat:w65nqgfypfcfxmzol2ccpxj2pu