When \(u = \hat{U} \cos{(\omega t + \alpha)}\), where \(u\) is the voltage, \(\omega\) is angular frequency, \(t\) is time, and \(\alpha\) is initial phase, then \(\underline{U} = Ue^{ja}\). (http://qudt.org/schema/qudt/LatexString)
"Voltage Phasor" is a representation of voltage as a sinusoidal integral quantity using a complex quantity whose argument is equal to the initial phase and whose modulus is equal to the root-mean-square value. A phasor is a constant complex number, usually expressed in exponential form, representing the complex amplitude (magnitude and phase) of a sinusoidal function of time. Phasors are used by electrical engineers to simplify computations involving sinusoids, where they can often reduce a differential equation problem to an algebraic one.