# BESSELY

The BESSELY function returns the Y Bessel function of the second kind for a given complex number.

## Syntax

=BESSELY(`X`

, `N`

)

`X` | The complex number. |

`N` | The order of the Bessel function. |

`Arbitrary` | Indicates if the function uses the root form for its calculations. Defaults to FALSE if omitted. |

`Kind` (Optional) | Specifies the type of calculation to perform. Defaults to 1 if omitted. |

## About BESSELY

When you're dealing with complex numbers and the need arises to compute the Y Bessel function of the second kind, the BESSELY function in Excel is your go-to tool. This function's significance is particularly pronounced in fields such as physics, engineering, and signal processing, where complex functions play a pivotal role in modeling various phenomena and system behaviors. By leveraging the BESSELY function, you gain the capability to address complex mathematical scenarios and extract meaningful insights from the resulting computations with relative ease and precision. Utilizing BESSELY involves providing the complex number on which the function operates and specifying the order of the Bessel function. An optional parameter allows for flexibility in computation through the use of root form, with another optional parameter enabling the selection of the type of calculation to perform. This adaptability ensures that the BESSELY function can cater to varying computational requirements, thereby elevating its utility and relevance across diverse mathematical and analytical contexts.

## Examples

If you want to calculate the Y Bessel function of the second kind for the complex number 2+3i at order 4 with the default options, the BESSELY formula would be: =BESSELY(2+3i, 4)

Suppose you need the Y Bessel function for the complex number 1+2i at order 3, using the root form, and specifying kind 2 for the calculation. The BESSELY formula would be: =BESSELY(1+2i, 3, TRUE, 2)

## Questions

**What does the BESSELY function calculate?**

The BESSELY function determines the Y Bessel function of the second kind for a given complex number and order, providing valuable insights into the behavior of complex functions and their significance in mathematical modeling.

**How can the root form option in the BESSELY function be useful?**

The root form option in the BESSELY function allows for specialized calculations, particularly when dealing with complex mathematical scenarios that benefit from the utilization of the root form in the computation of the Y Bessel function. It offers an additional layer of adaptability in addressing complex mathematical situations.

**What role does the kind parameter play in the BESSELY function?**

The kind parameter in the BESSELY function specifies the type of calculation to perform, offering flexibility and customization in the computation process. It allows users to tailor the function's behavior in line with the specific requirements of the mathematical context in which it is being applied.

## Related functions

BESSELJ

BESSELY