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Approximation of growth numbers of generalized bi-axially symmetric potentials

Kumar D.

Fasciculi Mathematici

2005

Nr 35

51-60

The paper deals with growth and approximation of solutions (not necessarily entire) of certain elliptic partial differential equations. These solutions are called Generalized Bi-Axiaily Symmetric Potentials (GBASP's). The GBASP's are taken to be regular in a finite hyperball and influence of the growth of their maximum moduli on the rate of decay of their approximation errors in sup norm is studied. The author has been obtained the characterizations of the (/-growth number and lower q-growth number of a GBASP &isin H R, O < R < &infin in terms of rate of decay of approximation error En(H, Ro}, 0 < Ro < &infin. Finally we have obtained a necessary condition for a GBASP &isin HR to be of perfectly regular growth.