A Fourier Series-like expansion of a twice continuously differentiable function

for , where is a zeroth order Bessel Function of the First Kind and

A special case gives the amazing identity

**References**

Iyanaga, S. and Kawada, Y. (Eds.). *Encyclopedic Dictionary of Mathematics.* Cambridge, MA: MIT Press,
p. 1473, 1980.

© 1996-9

1999-05-26