Category:Hankel Functions
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This category contains results about Hankel Functions.
Definitions specific to this category can be found in Definitions/Hankel Functions.
A Hankel function is the sum of Bessel functions in either of the following two ways:
Hankel Function of the First Kind
The Hankel function of the first kind is defined as:
- $\map {H_n^{\paren 1} } z = \map {J_n} z + i \map {Y_n} z$
where:
- $\map {J_n} z$ denotes the Bessel function of the first kind of order $n$
- $\map {Y_n} z$ denotes the Bessel function of the second kind of order $n$.
Hankel Function of the Second Kind
The Hankel function of the second kind is defined as:
- $\map {H_n^{\paren 2} } z = \map {J_n} z - i \map {Y_n} z$
where:
- $\map {J_n} z$ denotes the Bessel function of the first kind of order $n$
- $\map {Y_n} z$ denotes the Bessel function of the second kind of order $n$.
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