  We introduce the fluctuating Line-of-Sight (fLoS) fading model, characterized
by parameters $K$, $k$, $\lambda$, and $\Omega$. The fLoS fading distribution
is expressed in terms of the multivariate confluent hypergeometric functions
$\Psi_2$, $\Phi_3^{(n)}$, and $\Phi_3 = \Phi_3^{(2)}$ and encompasses
well-known distributions, such as the Nakagami-$m$, Hoyt, Rice, and Rician
shadowed fading distributions as special cases. An efficient method to
numerically compute the fLoS fading distribution is also addressed. Notably,
for a positive integer $k$, the fLoS fading distribution simplifies to a finite
mixture of $\kappa$-$\mu$ distributions. Additionally, we analyze the outage
probability and Ergodic capacity, presenting a tailored Prony's approximation
method for the latter. Numerical results are presented to show the impact of
the fading parameters and verify the accuracy of the proposed approximation.
Moreover, we illustrate an application of the proposed fLoS fading distribution
for characterizing wireless systems affected by channel aging.
