# For $\delta(x) = \lim_{e \to 0} \mu(x,e)$ definition, express $\mu(x,e)$ in terms of Bessel functions

Based on the definition of Dirac Delta as: $$\delta(x) = \lim_{e\to 0} \mu(x,e)$$

Is it possible to obtain an expression of $$\mu$$ as a series of Bessel's functions $$J_n$$ or in which satisfy the definition of delta.

Any recommended reference?

Thanks a lot!!

G

• Second item in A&S. ν =0 . Prove. Integral is better than limit. – Cosmas Zachos Feb 6 '19 at 23:22