We got same error at work, yet we made twice sure that MSVS 2013 redistributables are properly installed:
// Error: line 1: Unable to dynamically load : C:/mayaToCorona/mayaToCorona/plug-ins/mayatocorona.mll
The specified procedure could not be found.
//
// Error: line 1: The specified procedure could not be found.
(mayatocorona) //
Also, i do not think this should be in the manual:
"The implementation of a renderer is quite a lot of work, especially the implementation of shading
networks. Unfortunatly we have a problem here. In 3dsmax or Cinema4d you can sample the shading
network for every rendered sample during rendering. It may be not the very fastest way to use textures
and other nodes, but it works fine. Maya does not offer such an approach on a per sample basis. So the
texturing is quite limited in maya at the moment. We will have to wait until Corona offers a complete
shading network approach like OSL"
Firstly, because Corona will probably not support anything OSLlike in near future, and secondly because there is definitely some other way to do it, renderers like Vray being the proof. Maya is at least as sophisticated shading-wise as 3ds Max, if not better. So you are probably just using some legacy method.