The programming language Go uses the **`Y0`** function to find the order-zero Bessel function of the second kind for any argument it is passed.

To use this function, you must import the `math` package in your file and access the `Y0` function within it using the `.` notation (`math.Y0`). Here, `Y0` is the actual function, while `math` is the Go package that stores the definition of this function.

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## The Bessel functions

The **Bessel functions** are canonical solutions to Bessel's differential equation. These solutions are in the form:

$y= AJ_{v}(x) + BY_{v}(x)$

In the equation above, subscript $v$ determines the order of the functions (the Bessel functions are defined for all real values of $v$). So, for $v = 0$, the produced solutions will be of order-zero.

In the equation above, $Y$ represents the second solution to the Bessel equation, also known as the Bessel function of the second kind. 


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## Function definition

The definition of the `Y0` function inside the `math` package is shown below:

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## Parameters

The `Y0` function takes a single argument of type `float64` that represents the number for which you want to find the second kind order-zero Bessel function.

## Return value

The `Y0` function returns a single value of type `float64` that represents the second kind order-zero Bessel function of the given argument.

Some special cases are when you pass infinity, 0, or `NAN` as an argument:

* If the argument has a value of +Inf, the return value will be 0.

* If the argument has a value of 0, the return value will be -Inf.

* If the argument is a `NAN` value or is less than 0 (a negative value), then the return value will be `NAN`.

## Code

Below is a simple example where we find the second order-zero Bessel function of `5.35`.

package main

import(
  "fmt" 
  "math"
) 

func main() {
	var x float64 = 5.35 
	y := math.Y0(x)
	fmt.Print("The second kind order-zero Bessel function of ", x," is ", y)
}

The example below shows how the `Y0` function deals with an argument with a value of positive infinity.

> To generate the infinite value, we use the `Inf` function in the `math` package. `Inf` generates an infinite value with the same sign as the argument passed to it.



package main

import(
  "fmt" 
  "math"
) 

func main() {
	var x float64 = math.Inf(1)
	y := math.Y0(x)
	fmt.Print("The second kind order-zero Bessel function of ", x," is ", y, "\n")

} 

The example below shows how the `Y0` function handles `NAN` values.

> Here, we use the `NaN` function present in the `math` package to generate a `NAN` value.



package main

import(
  "fmt" 
  "math"
) 

func main() {
  my_nan := math.NaN()
	y := math.Y0(my_nan)
	fmt.Print("The second kind order-zero Bessel function of ", my_nan," is ", y, "\n")
} 

What is the Y0 function in Golang?

Y0 in Go calculates the order-zero Bessel function of the second kind for a given float64, handling special cases with specific return values.