Bessel Function Fourier Expansion
Let 
and 
, 
, ...be the Positive Roots of 
. An expansion of a function inthe interval (0,1) in terms of Bessel Functions of the First Kind
 | (1) |
 | (2) |
 | (3) |
 |  |  | |
|  | (4) |
and the Coefficients are given by
 | (5) |
References
Bowman, F. Introduction to Bessel Functions. New York: Dover, 1958.
- Lyapunov Condition
- Lyapunov Dimension
- Lyapunov Function
- Lyapunov's First Theorem
- Lyapunov's Second Theorem
- Lyndon Word
- Lyons Group
- Léon Anne's Theorem
- Lévy Constant
- Lévy Distribution
- Lévy Flight
- Lévy Fractal
- Lévy Function
- Lévy Tapestry
- Löwenheim-Skolem Theorem
- Lüroth's Theorem
- Machine
- Machin-Like Formulas
- Machin's Formula
- Mackey's Theorem
- Mac Lane's Theorem
- Maclaurin-Bezout Theorem
- Maclaurin-Cauchy Theorem
- Maclaurin Integral Test
- Maclaurin Polynomial