The mathematical conditions for the existence of macroeconomic production functions that are state functions of the economic system are pointed out. The output elasticities and the elasticities of substitution of energy-dependent Cobb-Douglas, CES and LinEx production functions are calculated....

Energy conversion in the production of goods and services, and the resulting emissions associated with entropy production, have not yet been taken into account by the mainstream theory of economic growth. Novel econometric analyses, however, have revealed energy as a production factor whose...