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105 LearnersLast updated on October 4, 2025
Factorial of 1/2
The factorial is a mathematical operation that involves multiplying a series of descending positive integers. However, the concept extends beyond integers through the gamma function. In this topic, we will learn about the factorial of 1/2.
What is the Factorial of 1/2?
The factorial of a number is generally represented by an exclamation mark (!) following the number. For non-integer values, the factorial is defined using the gamma function, Γ(n), such that n! = Γ(n+1).
Therefore, for 1/2, the factorial is given by: (1/2)! = Γ(1/2 + 1) = Γ(3/2). The value of Γ(3/2) is equal to (√π)/2. Therefore, the factorial of 1/2 is (√π)/2.
Important Glossaries of Factorial of 1/2
- Factorial: The process of multiplying a series of descending positive integers, extended to non-integers using the gamma function.
- Gamma Function: A function that extends the factorial to non-integer values, denoted as Γ(n).
- Non-integer: A number that is not a whole number, such as fractions or decimals.
- Square Root: A value that, when multiplied by itself, gives the original number.
- Pi (π): A mathematical constant representing the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.
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Jaskaran Singh Saluja
About the Author
Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.
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: He loves to play the quiz with kids through algebra to make kids love it.
