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105 LearnersLast updated on October 4, 2025
Factorial of -1/2
The factorial of a non-integer can be found using the Gamma function. This topic will explore the concept of the factorial for -1/2.
What is the Factorial of -1/2?
The factorial of a non-integer or negative number is not defined in the traditional sense, but it can be computed using the Gamma function.
The Gamma function is a continuous extension of the factorial function for real and complex numbers. For a number x, the factorial is defined as: x! = Γ(x+1) To find the factorial of -1/2, we use: (-1/2)! = Γ(1/2) We know that Γ(1/2) = √π.
Therefore, the factorial of -1/2 is √π.
Important Glossaries of Factorial of -1/2
- Gamma Function: A function that extends the factorial function to real and complex numbers.
- Factorial: Traditionally, the product of all positive integers up to a given number, extended to non-integers using the Gamma function.
- Negative Numbers: Numbers less than zero, often involved in extended factorial calculations using the Gamma function.
- Non-integer: Numbers that are not whole numbers, which can have factorials calculated using the Gamma function.
- Square Root of π: The value obtained when finding the factorial of -1/2, denoted as √π.
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Jaskaran Singh Saluja
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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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