Approximation of Generalized Biaxisymmetric Potentials in Lβ -Norm.

Let F be a real valued generalized biaxisymmetric potential (GBASP) in Lβ on SR, the open sphere of radius R about the origin. In this paper we have obtained the necessary and sufficient conditions on the rate of decrease of a sequence of best harmonic polynomial approximates to F such that F is harmonically continues as an entire function GBASP and determine their (p, q)- order and generalized (p, q)-type with respect to proximate order ρ(r). [ABSTRACT FROM AUTHOR]