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Golang math.Gamma() Function with Examples

Golang | math.Gamma() Function: Here, we are going to learn about the Gamma() function of the math package with its usages, syntax, and examples.
Submitted by IncludeHelp, on September 01, 2021

math.Gamma()

The Gamma() function is an inbuilt function of the math package which is used to get the Gamma function of the given number.

It accepts a parameter (x) and returns the Gamma function of x.

Syntax:

func Gamma(x float64) float64

Parameter(s):

  • x : The value whose gamma function is to be returned.

Return Value:

The return type of Gamma() function is a float64, it returns the Gamma function of the given number.

Special cases:

  • Gamma(+Inf) = +Inf
    If the parameter is positive infinity (+Inf), the function returns the same (+Inf).
  • Gamma(+0) = +Inf
    If the parameter is +0, the function returns positive infinity (+Inf).
  • Gamma(-0) = -Inf
    If the parameter is -0, the function returns negative infinity (-Inf).
  • Gamma(x) = NaN for integer x < 0
    If the parameter is less than 0, the function returns NaN.
  • Gamma(-Inf) = NaN
    If the parameter is negative infinity (-Inf), the function returns NaN.
  • Gamma(NaN) = NaN
    If the parameter is NaN, the function returns the same (NaN).

Example 1:

// Golang program to demonstrate the
// example of math.Gamma() Function

package main

import (
	"fmt"
	"math"
)

func main() {
	fmt.Println(math.Gamma(1))
	fmt.Println(math.Gamma(5.50))
	fmt.Println(math.Gamma(120))

	fmt.Println(math.Gamma(0))
	fmt.Println(math.Gamma(-1))
	fmt.Println(math.Gamma(math.Inf(-1)))
	fmt.Println(math.Gamma(math.Inf(+1)))
	fmt.Println(math.Gamma(math.NaN()))
}

Output:

1
52.34277778455352
5.574585761207607e+196
+Inf
NaN
NaN
+Inf
NaN

Example 2:

// Golang program to demonstrate the
// example of math.Gamma() Function

package main

import (
	"fmt"
	"math"
)

func main() {
	var x float64
	var GammaX float64

	x = 1
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)

	x = 10.5
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)

	x = 0
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)

	x = -1
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)

	x = math.Inf(1)
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)

	x = math.NaN()
	GammaX = math.Gamma(x)
	fmt.Println("Gamma(", x, ") = ", GammaX)
}

Output:

Gamma( 1 ) =  1
Gamma( 10.5 ) =  1.1332783889487856e+06
Gamma( 0 ) =  +Inf
Gamma( -1 ) =  NaN
Gamma( +Inf ) =  +Inf
Gamma( NaN ) =  NaN

Golang math Package Constants and Functions »


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