We will discuss Drinfeld modules and Anderson t-modules, which are known as the function field analogs of elliptic curves and abelian varieties, as well as L-functions associated to them. Then, we will investigate convolutions of Goss and Pellarin L-series, which occur as a kind of Rankin-Selberg convolution, and present results on special values that arise from class module formulas of Demeslay and Taelman.