Dini Expansion

An expansion based on the Roots of

$$x^{-n}[xJ_n'(x)+HJ_n(x)]=0,$$

where $J_n(x)$ is a Bessel Function of the First Kind, is called a Dini expansion.

See also Bessel Function Fourier Expansion

References

Bowman, F. Introduction to Bessel Functions. New York: Dover, p. 109, 1958.