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Following the same framework of the special value results of convolutions ofGoss and Pellarin $L$-series attached to Drinfeld modules that take values inTate algebras by Papanikolas and the author, we establish special value resultsof convolutions of two Goss $L$-series attached to Drinfeld modules that takevalues in ${\mathbb{F}_q}(\!(\frac{1}{\theta})\!).$ Applying the class moduleformula of Fang to tensor products of two Drinfeld modules, we provide specialvalue formulas for their $L$-functions. By way of the theory of Schurpolynomials these identities take the form of specializations of convolutionsof Rankin-Selberg type. Finally, we show an explicit computation of theregulators appearing in Fang's class module formula for tensor products as wellas symmetric and alternating squares of Drinfeld modules.

Tensor products of Drinfeld modules and convolutions of Goss $L$-series