The Jacobi-Anger Expansion is used to represent plane waves by expanding these using trigonometric exponentials.
One formula used to compute these involves integrating a complex integral; that formula is also known as Sommerfeld's Formula. Bourget's hypothesis states that no two members of this class have non-trivial common roots. The Rayleigh function is a summation that uses the zeros of these objects. They form an orthogonal set of solutions to the differential equations of the same name. The Jacobi-Anger Expansion is used to represent plane waves by expanding these using trigonometric exponentials. The Hankel functions are complex linear combinations of two types of these functions, one type being the Neumann function. These entities are named for the mathematician that first calculated a star's parallax. For ten points, name these functions that may be of the second or first kind, which are useful in cylindrical harmonics and are denoted J sub nu of x.
One formula used to compute these involves integrating a complex integral; that formula is also known as Sommerfeld's Formula.
{Bessel} functions