functions - Representation of product with exclusions

Is there a nice way to define output formatting for my expression, a product from n = k to j with n ≠ m? I would like to use something like this here (however Mathematica doesn't evaluate it):

$$\prod _{n=k,n\neq m}^j \frac{\lambda _n}{\lambda _n-\lambda _m}$$

My work around at the moment is: (adopted from Sum or Product with Exclusions)

$$\prod _n^{\text{DeleteCases[Range[k, j], m]}} \frac{\lambda _n}{\lambda _n-\lambda _m}$$