TY - JOUR
AU - Kumar, Devendra Kumar
PY - 2023/07/30
Y2 - 2023/12/07
TI - Approximation of Generalized Biaxisymmetric Potentials in $L^{\beta}$-norm
JF - European Journal of Pure and Applied Mathematics
JA - Eur. J. Pure Appl. Math.
VL - 16
IS - 3
SE -
DO - 10.29020/nybg.ejpam.v16i3.4815
UR - https://ejpam.com/index.php/ejpam/article/view/4815
SP - 1508-1517
AB - <p>Let $F$ be a real valued generalized biaxisymmetric potential (GBASP) in $L^{\beta}$ on $S_{R}$, 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 $\rho(r)$.</p>
ER -