Abstract
Here we obtain a Taylor’s expansion of the function $\rho(x,r) = \frac{|B(x,r)|}{|B(x,r) \cap \Omega|}$ for $r$ small and $x \in \partial \Omega$ where the boundary of domain $\Omega$ is assumed to be analytic. The coefficients are expressed as recurrence relation and it is proved yhat the series is odd.
Citation
Jyotshana V. Prajapat. "Taylor Expansion for an Analytic Hypersurface in R N." Taiwanese J. Math. 14 (6) 2277 - 2289, 2010. https://doi.org/10.11650/twjm/1500406075
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