Abstract
If f(z) is analytic in a domain G ⊂ ℂ, the function v(z) = log f(z) is subharmonic in G. We discuss the extent to which the converse is true, and show that approximation of general subharmonic functions u(z) by those of the special form v(z) = log f(z) provides a powerful tool to create analytic and meromorphic functions.
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Drasin, D. (2001). Approximation of subharmonic functions with applications. In: Arakelian, N., Gauthier, P.M., Sabidussi, G. (eds) Approximation, Complex Analysis, and Potential Theory. NATO Science Series, vol 37. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0979-9_6
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DOI: https://doi.org/10.1007/978-94-010-0979-9_6
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