Definition:Bessel Function/Second Kind

Definition

A Bessel function of the second kind of order $n$ is a Bessel function which is singular at the origin.

It is usually denoted $\map {Y_n} x$, where $x$ is the dependent variable of the instance of Bessel's equation to which $\map {Y_n} x$ forms a solution.

Also known as

Bessel functions of the second kind are also known as Neumann functions.

These are named for Carl Gottfried Neumann.

Also see

• Definition:Bessel Function of the First Kind

• Definition:Modified Bessel Function of the First Kind
• Definition:Modified Bessel Function of the Second Kind

Source of Name

This entry was named for Friedrich Wilhelm Bessel.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Bessel functions
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Bessel functions