Gamma Function Calculator

Gamma Function is an extension of the factorial function with its argument shifted down by 1. Below given are the simple and easy steps which are helpful to you in solving the gamma function.

• Take any number to evaluate the gamma function.
• According to the gamma function Γn = (n - 1)!
• Place the given value in the above formula and evaluate the factorial function to get the answer.

Gamma function is similar to the factorial function. We will represent gamma function as the symbol "Γ". Gamma function is able to handle both complex numbers and factorial values. It is used in different areas like complex analysis, statistics, calculus, etc.

Gamma function Γs is defined as

For s>0, Γs = ∫₀^∞ e-x x^s-1 dx = ∫₀^∞ e^-x dx/x

Gamma Factorial Connection is Γn = (n-1)!

Example

Question: Solve Γ10?

Solution:

Given that Γ10 = ?

We know that Γn = (n - 1)!

Γ10 = (10 - 1)!

= 9!

= 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

= 3,62,880

Γ10 = 3,62,880

Students of any mathematical knowledge can learn the concepts and solve the problems easily by taking the help of our free calculator tools at Onlinecalculator.guru as all of them give accurate and straightforward description.

1. How do you calculate gamma function on a calculator?

You have to provide the input number n in the specified box and press on the calculate button to find the gamma function of the given value in the output box in no time.

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2. What are the common properties of Gamma Function?

Below provided are the some simple properties of gamma function.

Γ(n+1) = n Γ(n)

Γ(1/2) = √π

Γ(n/2) = [ 2^(1-n) * (n-1)! * √π] / [((n-1)/2)!]

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3. What is gamma function according to the euler's integrals?

The gamma function is defined for x > 0 in the integral form by the improper integral known as Euler's Integral of the Second Kind.

Γ(x) = ∫₀^∞ t^x-1 e^-t dt.

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4. Define Γ(1)?

Substitute x = 1 in the euler's integral gamma formula

Γ(1) = ∫₀^∞ t^1-1 e^-t dt

= ∫₀^∞ e^-t dt

= -e^-∞ - (-e⁰) = 0 - (-1)

= 1

Γ(1) = 1

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