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Several new families of exact solution to the Einstein-Maxwell system ofdifferential equations are found for anisotropic charged matter. The spacetimegeometry is that of Finch and Skea which satisfies all criteria for physicalacceptability. The exact solutions can be expressed in terms of elementaryfunctions, Bessel functions and modified Bessel functions. When a parameter isrestricted to be an integer then the special functions reduce to simpleelementary functions. The uncharged model of Finch and Skea (Class. QuantumGrav. 6, 467 (1989)) and the charged model of Hansraj and Maharaj (Int. J. Mod.Phys. D 8, 1311 (2006)) are regained as special cases. The solutions foundadmit a barotropic equation of state. A graphical analysis indicates that thematter and electric quantities are well behaved.

A family of Finch and Skea relativistic stars