An expansion based on the roots of
![x^(-n)[xJ_n^'(x)+HJ_n(x)]=0,](/images/equations/DiniExpansion/NumberedEquation1.svg) |
where 
is a Bessel function of the first kind,
is called a Dini expansion.
Dini Expansion
See also
Fourier-Bessel SeriesExplore with Wolfram|Alpha
References
Bowman, F. Introduction to Bessel Functions. New York: Dover, p. 109, 1958.Referenced on Wolfram|Alpha
Dini ExpansionCite this as:
Weisstein, Eric W. "Dini Expansion." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/DiniExpansion.html