Cardinal characteristics -- generalisation?

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I'm just reading about what is called cardinal characteristics of the continuum. For example there are the bounding number $\mathfrak b$ and the dominating number $\mathfrak d$ etc. which are defined to be certain cardinalities of sets of functions $\omega \to \omega$.

Where can I read about the corresponding combinatorics of sets of functions $\kappa \to \lambda$ for cardinals $\kappa, \lambda$ other than $\omega$? Or does it not make sense to ask this? Thanks.