THE $L^p$-APPROXIMATION OF GENERALIZED BI-AXIALLY SYMMETRIC POTENTIALS

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In this paper we deal with growth and approximation of solutions (not necessarily entire) of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBSP). We obtain the characterization of $q$-type and lower $q$-type of a GBSP having fast rates of growth in terms of ratio of approximation errors in $L^p$ norm.