Pizzetti’s Formula for Weighed Spherical Mean and its Applications
Keywords:
Laplace-Bessel operator, Taylor-Delsarte formula, weighed spherical mean, Pizzetti's formula, singular heat equation, Euler-Darboux-Poisson equationAbstract
This article provides a generalization of Pizzetti’s formula for weighed spherical mean. This weighed spherical mean is decomposed into a series of Laplace-Bessel operators. As applications, we present expressions for solutions of singular differential equations using Pizzetti’s formula for the weighted spherical mean.
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