bessel function in a sentence

Examples

1. There is a useful identity involving Bessel functions called the Jacobi-Anger expansion which can be used to derive
2. where " I " k ( z ) is the modified Bessel function of the first kind.
3. His solution takes the form of an expansion of modified ( hyperbolic ) Bessel functions of the first kind.
4. The next simplest cases of a disc or square involve, respectively, Bessel functions and Jacobi theta functions.
5. where " I " 0 is the zero-th order modified Bessel function of the first kind.
6. Hopf s collaboration with Sommerfeld on integral representations of Bessel Functions resulted in the publication of a paper in 1911.
7. Macdonald worked on electric waves and solved difficult problems regarding diffraction of these waves by summing series of Bessel functions.
8. Determination of the wave number is therefore possible by determining the roots of the Bessel function of the first kind.
9. Lattice light sheet microscopy aims at reducing the intensity of the outer lobes of the Bessel functions by destructive interference.
10. where M is a confluent hypergeometric function and \ mathcal J _ 0 is a Bessel function of the first kind.